796312252800 has 1536 divisors, whose sum is σ = 3255595200000. Its totient is φ = 189231759360.

The previous prime is 796312252763. The next prime is 796312252817. The reversal of 796312252800 is 8252213697.

796312252800 is a `hidden beast` number, since 7 + 9 + 6 + 312 + 252 + 80 + 0 = 666.

It is a super-2 number, since 2×796312252800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2047075006 + ... + 2047075394.

It is an arithmetic number, because the mean of its divisors is an integer number (2119528125).

Almost surely, 2^796312252800 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 796312252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600000).

796312252800 is an abundant number, since it is smaller than the sum of its proper divisors (2459282947200).

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

796312252800 is a wasteful number, since it uses less digits than its factorization.

796312252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 796312252800 in words is "seven hundred ninety-six billion, three hundred twelve million, two hundred fifty-two thousand, eight hundred".