127992400 has 30 divisors (see below), whose sum is σ = 307502702. Its totient is φ = 51196800.

The previous prime is 127992367. The next prime is 127992427. The reversal of 127992400 is 4299721.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5934096 + 122058304 = 2436^2 + 11048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159591 + ... + 160390.

Almost surely, 2^127992400 is an apocalyptic number.

127992400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127992400 is an abundant number, since it is smaller than the sum of its proper divisors (179510302).

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

127992400 is a wasteful number, since it uses less digits than its factorization.

127992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319999 (or 319988 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 127992400 is about 11313.3726182779. The cubic root of 127992400 is about 503.9584453856.

The spelling of 127992400 in words is "one hundred twenty-seven million, nine hundred ninety-two thousand, four hundred".