796550400 has 162 divisors, whose sum is σ = 2848053390. Its totient is φ = 212398080.

The previous prime is 796550399. The next prime is 796550423. The reversal of 796550400 is 4055697.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 793886976 = 1632^2 + 28176^2 .

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 17 ways as a sum of consecutive naturals, for example, 50686 + ... + 64514.

Almost surely, 2^796550400 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 796550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424026695).

796550400 is an abundant number, since it is smaller than the sum of its proper divisors (2051502990).

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

796550400 is a wasteful number, since it uses less digits than its factorization.

796550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13861 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 796550400 is about 28223.2244791413. The cubic root of 796550400 is about 926.9815422081.

The spelling of 796550400 in words is "seven hundred ninety-six million, five hundred fifty thousand, four hundred".