796966400 has 240 divisors, whose sum is σ = 2169169200. Its totient is φ = 289013760.

The previous prime is 796966393. The next prime is 796966433. The reversal of 796966400 is 4669697.

It is a congruent number.

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, 7052744 + ... + 7052856.

It is an arithmetic number, because the mean of its divisors is an integer number (9038205).

Almost surely, 2^796966400 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 796966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084584600).

796966400 is an abundant number, since it is smaller than the sum of its proper divisors (1372202800).

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

796966400 is a wasteful number, since it uses less digits than its factorization.

796966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 796966400 is about 28230.5933341827. The cubic root of 796966400 is about 927.1428867634.

The spelling of 796966400 in words is "seven hundred ninety-six million, nine hundred sixty-six thousand, four hundred".