796416000 has 384 divisors, whose sum is σ = 2851692480. Its totient is φ = 196608000.

The previous prime is 796415999. The next prime is 796416031. The reversal of 796416000 is 614697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13055970 + ... + 13056030.

Almost surely, 2^796416000 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 796416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425846240).

796416000 is an abundant number, since it is smaller than the sum of its proper divisors (2055276480).

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

796416000 is a wasteful number, since it uses less digits than its factorization.

796416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 796416000 is about 28220.8433608920. The cubic root of 796416000 is about 926.9294034998.

The spelling of 796416000 in words is "seven hundred ninety-six million, four hundred sixteen thousand".