815503680 has 224 divisors, whose sum is σ = 2955828480. Its totient is φ = 211507200.

The previous prime is 815503669. The next prime is 815503691. The reversal of 815503680 is 86305518.

It is an interprime number because it is at equal distance from previous prime (815503669) and next prime (815503691).

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 31 ways as a sum of consecutive naturals, for example, 318405 + ... + 320955.

Almost surely, 2^815503680 is an apocalyptic number.

815503680 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 815503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477914240).

815503680 is an abundant number, since it is smaller than the sum of its proper divisors (2140324800).

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

815503680 is a wasteful number, since it uses less digits than its factorization.

815503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 815503680 is about 28557.0250551419. The cubic root of 815503680 is about 934.2762488971.

The spelling of 815503680 in words is "eight hundred fifteen million, five hundred three thousand, six hundred eighty".