815630880 has 144 divisors (see below), whose sum is σ = 2633238720. Its totient is φ = 212212224.

The previous prime is 815630869. The next prime is 815630891. The reversal of 815630880 is 88036518.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (815630869) and next prime (815630891).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887061 + ... + 887979.

It is an arithmetic number, because the mean of its divisors is an integer number (18286380).

Almost surely, 2^815630880 is an apocalyptic number.

815630880 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 815630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316619360).

815630880 is an abundant number, since it is smaller than the sum of its proper divisors (1817607840).

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

815630880 is a wasteful number, since it uses less digits than its factorization.

815630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 815630880 is about 28559.2520910475. The cubic root of 815630880 is about 934.3248216436.

The spelling of 815630880 in words is "eight hundred fifteen million, six hundred thirty thousand, eight hundred eighty".