957800880 has 120 divisors (see below), whose sum is σ = 3260856768. Its totient is φ = 251900928.

The previous prime is 957800869. The next prime is 957800881. The reversal of 957800880 is 88008759.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (957800881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43449 + ... + 61671.

Almost surely, 2^957800880 is an apocalyptic number.

957800880 is a gapful number since it is divisible by the number (90) 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 957800880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630428384).

957800880 is an abundant number, since it is smaller than the sum of its proper divisors (2303055888).

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

957800880 is a wasteful number, since it uses less digits than its factorization.

957800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18315 (or 18306 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 957800880 is about 30948.3582763286. The cubic root of 957800880 is about 985.7309904451.

The spelling of 957800880 in words is "nine hundred fifty-seven million, eight hundred thousand, eight hundred eighty".