795923520 has 224 divisors, whose sum is σ = 2924909568. Its totient is φ = 179607552.

The previous prime is 795923501. The next prime is 795923551. The reversal of 795923520 is 25329597.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557047 + ... + 558473.

It is an arithmetic number, because the mean of its divisors is an integer number (13057632).

Almost surely, 2^795923520 is an apocalyptic number.

795923520 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 795923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462454784).

795923520 is an abundant number, since it is smaller than the sum of its proper divisors (2128986048).

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

795923520 is a wasteful number, since it uses less digits than its factorization.

795923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 795923520 is about 28212.1165459098. The cubic root of 795923520 is about 926.7383022332.

The spelling of 795923520 in words is "seven hundred ninety-five million, nine hundred twenty-three thousand, five hundred twenty".