799848000 has 672 divisors, whose sum is σ = 3505931520. Its totient is φ = 174873600.

The previous prime is 799847999. The next prime is 799848001. The reversal of 799848000 is 848997.

799848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (799847999) and next prime (799848001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (799848001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34775989 + ... + 34776011.

It is an arithmetic number, because the mean of its divisors is an integer number (5217160).

Almost surely, 2^799848000 is an apocalyptic number.

799848000 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 799848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752965760).

799848000 is an abundant number, since it is smaller than the sum of its proper divisors (2706083520).

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

799848000 is a wasteful number, since it uses less digits than its factorization.

799848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 799848000 is about 28281.5841140485. The cubic root of 799848000 is about 928.2589695400.

The spelling of 799848000 in words is "seven hundred ninety-nine million, eight hundred forty-eight thousand".