795631824 has 240 divisors, whose sum is σ = 2651830272. Its totient is φ = 220188672.

The previous prime is 795631799. The next prime is 795631829. The reversal of 795631824 is 428136597.

795631824 is a `hidden beast` number, since 7 + 9 + 5 + 631 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 795631824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795631829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731409 + ... + 732495.

Almost surely, 2^795631824 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 795631824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325915136).

795631824 is an abundant number, since it is smaller than the sum of its proper divisors (1856198448).

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

795631824 is a wasteful number, since it uses less digits than its factorization.

795631824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

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

The square root of 795631824 is about 28206.9463785075. The cubic root of 795631824 is about 926.6250757403.

It can be divided in two parts, 7956 and 31824, that multiplied together give a square (253191744 = 15912²).

The spelling of 795631824 in words is "seven hundred ninety-five million, six hundred thirty-one thousand, eight hundred twenty-four".