815662080 has 264 divisors, whose sum is σ = 2922526464. Its totient is φ = 210124800.

The previous prime is 815662073. The next prime is 815662117. The reversal of 815662080 is 80266518.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428195 + ... + 1428765.

It is an arithmetic number, because the mean of its divisors is an integer number (11070176).

Almost surely, 2^815662080 is an apocalyptic number.

815662080 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 815662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461263232).

815662080 is an abundant number, since it is smaller than the sum of its proper divisors (2106864384).

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

815662080 is a wasteful number, since it uses less digits than its factorization.

815662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 815662080 is about 28559.7983186156. The cubic root of 815662080 is about 934.3367349423.

The spelling of 815662080 in words is "eight hundred fifteen million, six hundred sixty-two thousand, eighty".