127879920 has 120 divisors (see below), whose sum is σ = 490834656. Its totient is φ = 29228544.

The previous prime is 127879919. The next prime is 127879951. The reversal of 127879920 is 29978721.

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

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 23 ways as a sum of consecutive naturals, for example, 7647 + ... + 17726.

Almost surely, 2^127879920 is an apocalyptic number.

127879920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127879920 is an abundant number, since it is smaller than the sum of its proper divisors (362954736).

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

127879920 is a wasteful number, since it uses less digits than its factorization.

127879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25399 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 127879920 is about 11308.4004173888. The cubic root of 127879920 is about 503.8107755263.

The spelling of 127879920 in words is "one hundred twenty-seven million, eight hundred seventy-nine thousand, nine hundred twenty".