880308900 has 243 divisors, whose sum is σ = 2953104609. Its totient is φ = 219320640.

The previous prime is 880308887. The next prime is 880308941. The reversal of 880308900 is 9803088.

The square root of 880308900 is 29670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 316911204 + 563397696 = 17802^2 + 23736^2 .

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 80 ways as a sum of consecutive naturals, for example, 20472279 + ... + 20472321.

Almost surely, 2^880308900 is an apocalyptic number.

880308900 is the 29670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880308900

880308900 is an abundant number, since it is smaller than the sum of its proper divisors (2072795709).

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

880308900 is a wasteful number, since it uses less digits than its factorization.

880308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 880308900 is about 958.3960847798.

Multiplying 880308900 by its sum of digits (36), we get a square (31691120400 = 178020²).

880308900 divided by its sum of digits (36) gives a square (24453025 = 4945²).

The spelling of 880308900 in words is "eight hundred eighty million, three hundred eight thousand, nine hundred".