796262400 has 324 divisors, whose sum is σ = 2958021612. Its totient is φ = 212336640.

The previous prime is 796262399. The next prime is 796262417. The reversal of 796262400 is 4262697.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 4! ⋅ (2!)⁶.

796262400 is a `hidden beast` number, since 7 + 9 + 626 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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, 159252478 + ... + 159252482.

Almost surely, 2^796262400 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 796262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479010806).

796262400 is an abundant number, since it is smaller than the sum of its proper divisors (2161759212).

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

796262400 is an frugal number, since it uses more digits than its factorization.

796262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 796262400 is about 28218.1218368622. The cubic root of 796262400 is about 926.8698092214.

The spelling of 796262400 in words is "seven hundred ninety-six million, two hundred sixty-two thousand, four hundred".