814979088 has 240 divisors, whose sum is σ = 2936573952. Its totient is φ = 204768000.

The previous prime is 814979069. The next prime is 814979117. The reversal of 814979088 is 880979418.

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, 342543 + ... + 344913.

Almost surely, 2^814979088 is an apocalyptic number.

814979088 is a gapful number since it is divisible by the number (88) 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 814979088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468286976).

814979088 is an abundant number, since it is smaller than the sum of its proper divisors (2121594864).

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

814979088 is a wasteful number, since it uses less digits than its factorization.

814979088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 814979088 is about 28547.8385871855. The cubic root of 814979088 is about 934.0758741725.

The spelling of 814979088 in words is "eight hundred fourteen million, nine hundred seventy-nine thousand, eighty-eight".