815738880 has 416 divisors, whose sum is σ = 3057274368. Its totient is φ = 183500800.

The previous prime is 815738849. The next prime is 815738899. The reversal of 815738880 is 88837518.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11489245 + ... + 11489315.

Almost surely, 2^815738880 is an apocalyptic number.

815738880 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 815738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528637184).

815738880 is an abundant number, since it is smaller than the sum of its proper divisors (2241535488).

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

815738880 is a wasteful number, since it uses less digits than its factorization.

815738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 815738880 is about 28561.1428342775. The cubic root of 815738880 is about 934.3660586908.

It can be divided in two parts, 815738 and 880, that added together give a palindrome (816618).

The spelling of 815738880 in words is "eight hundred fifteen million, seven hundred thirty-eight thousand, eight hundred eighty".