796864800 has 144 divisors (see below), whose sum is σ = 2746511712. Its totient is φ = 199987200.

The previous prime is 796864799. The next prime is 796864843. The reversal of 796864800 is 8468697.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 796864800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31035 + ... + 50565.

It is an arithmetic number, because the mean of its divisors is an integer number (19072998).

Almost surely, 2^796864800 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 796864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373255856).

796864800 is an abundant number, since it is smaller than the sum of its proper divisors (1949646912).

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

796864800 is a wasteful number, since it uses less digits than its factorization.

796864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19571 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 796864800 is about 28228.7938105758. The cubic root of 796864800 is about 927.1034866412.

The spelling of 796864800 in words is "seven hundred ninety-six million, eight hundred sixty-four thousand, eight hundred".