815752080 has 640 divisors, whose sum is σ = 3499776000. Its totient is φ = 171694080.

The previous prime is 815752079. The next prime is 815752087. The reversal of 815752080 is 80257518.

815752080 is a `hidden beast` number, since 8 + 1 + 57 + 520 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (815752087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5868651 + ... + 5868789.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^815752080 is an apocalyptic number.

815752080 is a gapful number since it is divisible by the number (80) 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 815752080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888000).

815752080 is an abundant number, since it is smaller than the sum of its proper divisors (2684023920).

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

815752080 is a wasteful number, since it uses less digits than its factorization.

815752080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 815752080 is about 28561.3739165328. The cubic root of 815752080 is about 934.3710985247.

The spelling of 815752080 in words is "eight hundred fifteen million, seven hundred fifty-two thousand, eighty".