796678444800 has 972 divisors, whose sum is σ = 3314022107760. Its totient is φ = 178843484160.

The previous prime is 796678444741. The next prime is 796678444831. The reversal of 796678444800 is 8444876697.

796678444800 is a `hidden beast` number, since 7 + 96 + 67 + 8 + 4 + 4 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5346835126 + ... + 5346835274.

Almost surely, 2^796678444800 is an apocalyptic number.

796678444800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796678444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657011053880).

796678444800 is an abundant number, since it is smaller than the sum of its proper divisors (2517343662960).

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

796678444800 is a wasteful number, since it uses less digits than its factorization.

796678444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 796678444800 in words is "seven hundred ninety-six billion, six hundred seventy-eight million, four hundred forty-four thousand, eight hundred".