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799223040 = 283257111753
BaseRepresentation
bin101111101000110…
…010110100000000
32001200212201220100
4233220302310000
53114100114130
6211150042400
725543166220
oct5750626400
92050781810
10799223040
11380160110
121a37a9400
13c9770355
1478206080
154a271c60
hex2fa32d00

799223040 has 864 divisors, whose sum is σ = 3719229696. Its totient is φ = 153354240.

The previous prime is 799223017. The next prime is 799223063. The reversal of 799223040 is 40322997.

It is an interprime number because it is at equal distance from previous prime (799223017) and next prime (799223063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 799222986 and 799223004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079654 + ... + 15079706.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2799223040 is an apocalyptic number.

799223040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859614848).

799223040 is an abundant number, since it is smaller than the sum of its proper divisors (2920006656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

799223040 is a wasteful number, since it uses less digits than its factorization.

799223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 799223040 is about 28270.5330689041. The cubic root of 799223040 is about 928.0171419743.

The spelling of 799223040 in words is "seven hundred ninety-nine million, two hundred twenty-three thousand, forty".