795264814080 has 1584 divisors, whose sum is σ = 3229166932992. Its totient is φ = 180530380800.

The previous prime is 795264814033. The next prime is 795264814109. The reversal of 795264814080 is 80418462597.

It is a happy number.

795264814080 is a `hidden beast` number, since 79 + 52 + 6 + 481 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×795264814080² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7432381387 + ... + 7432381493.

It is an arithmetic number, because the mean of its divisors is an integer number (2038615488).

Almost surely, 2^795264814080 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 795264814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614583466496).

795264814080 is an abundant number, since it is smaller than the sum of its proper divisors (2433902118912).

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

795264814080 is a wasteful number, since it uses less digits than its factorization.

795264814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 795264814080 in words is "seven hundred ninety-five billion, two hundred sixty-four million, eight hundred fourteen thousand, eighty".