795083520 has 288 divisors, whose sum is σ = 3167055360. Its totient is φ = 165150720.

The previous prime is 795083503. The next prime is 795083543. The reversal of 795083520 is 25380597.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294336 + ... + 297024.

It is an arithmetic number, because the mean of its divisors is an integer number (10996720).

Almost surely, 2^795083520 is an apocalyptic number.

795083520 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 795083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583527680).

795083520 is an abundant number, since it is smaller than the sum of its proper divisors (2371971840).

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

795083520 is a wasteful number, since it uses less digits than its factorization.

795083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 795083520 is about 28197.2253954179. The cubic root of 795083520 is about 926.4121678029.

It can be divided in two parts, 79508 and 3520, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 795083520 in words is "seven hundred ninety-five million, eighty-three thousand, five hundred twenty".