815834880 has 432 divisors, whose sum is σ = 3295778304. Its totient is φ = 182476800.

The previous prime is 815834869. The next prime is 815834897. The reversal of 815834880 is 88438518.

It is a super-3 number, since 3×815834880³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5402805 + ... + 5402955.

Almost surely, 2^815834880 is an apocalyptic number.

815834880 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 815834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647889152).

815834880 is an abundant number, since it is smaller than the sum of its proper divisors (2479943424).

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

815834880 is a wasteful number, since it uses less digits than its factorization.

815834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 815834880 is about 28562.8233898542. The cubic root of 815834880 is about 934.4027107884.

The spelling of 815834880 in words is "eight hundred fifteen million, eight hundred thirty-four thousand, eight hundred eighty".