799034880 has 320 divisors, whose sum is σ = 2969809920. Its totient is φ = 179503104.

The previous prime is 799034857. The next prime is 799034903. The reversal of 799034880 is 88430997.

It is an interprime number because it is at equal distance from previous prime (799034857) and next prime (799034903).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×799034880² = 1276913478913228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784557 + ... + 4784723.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2^799034880 is an apocalyptic number.

799034880 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 799034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

799034880 is an abundant number, since it is smaller than the sum of its proper divisors (2170775040).

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

799034880 is a wasteful number, since it uses less digits than its factorization.

799034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 799034880 is about 28267.2050263198. The cubic root of 799034880 is about 927.9443089845.

The spelling of 799034880 in words is "seven hundred ninety-nine million, thirty-four thousand, eight hundred eighty".