972800 has 72 divisors (see below), whose sum is σ = 2538900. Its totient is φ = 368640.

The previous prime is 972799. The next prime is 972823. The reversal of 972800 is 8279.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 972800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51191 + ... + 51209.

2⁹⁷²⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450).

972800 is an abundant number, since it is smaller than the sum of its proper divisors (1566100).

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

972800 is a wasteful number, since it uses less digits than its factorization.

972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 972800 is about 986.3062404750. The cubic root of 972800 is about 99.0849863704.

The spelling of 972800 in words is "nine hundred seventy-two thousand, eight hundred".