796118400 has 576 divisors, whose sum is σ = 3551558400. Its totient is φ = 164966400.

The previous prime is 796118399. The next prime is 796118417. The reversal of 796118400 is 4811697.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217421 + ... + 2217779.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2^796118400 is an apocalyptic number.

796118400 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 796118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

796118400 is an abundant number, since it is smaller than the sum of its proper divisors (2755440000).

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

796118400 is a wasteful number, since it uses less digits than its factorization.

796118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 796118400 is about 28215.5701696776. The cubic root of 796118400 is about 926.8139326247.

The spelling of 796118400 in words is "seven hundred ninety-six million, one hundred eighteen thousand, four hundred".