795712320 has 336 divisors, whose sum is σ = 3010552272. Its totient is φ = 191692800.

The previous prime is 795712283. The next prime is 795712331. The reversal of 795712320 is 23217597.

It can be written as a sum of positive squares in 8 ways, for example, as 28643904 + 767068416 = 5352^2 + 27696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984120 + ... + 1984520.

It is an arithmetic number, because the mean of its divisors is an integer number (8959977).

Almost surely, 2^795712320 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 795712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505276136).

795712320 is an abundant number, since it is smaller than the sum of its proper divisors (2214839952).

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

795712320 is a wasteful number, since it uses less digits than its factorization.

795712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 795712320 is about 28208.3732249841. The cubic root of 795712320 is about 926.6563243214.

The spelling of 795712320 in words is "seven hundred ninety-five million, seven hundred twelve thousand, three hundred twenty".