796910400 has 840 divisors, whose sum is σ = 3521378784. Its totient is φ = 174182400.

The previous prime is 796910393. The next prime is 796910431. The reversal of 796910400 is 4019697.

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 119 ways as a sum of consecutive naturals, for example, 18532779 + ... + 18532821.

Almost surely, 2^796910400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760689392).

796910400 is an abundant number, since it is smaller than the sum of its proper divisors (2724468384).

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

796910400 is a wasteful number, since it uses less digits than its factorization.

796910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 796910400 is about 28229.6014849661. The cubic root of 796910400 is about 927.1211705748.

The spelling of 796910400 in words is "seven hundred ninety-six million, nine hundred ten thousand, four hundred".