7972800 has 168 divisors, whose sum is σ = 28724352. Its totient is φ = 1920000.

The previous prime is 7972781. The next prime is 7972817. The reversal of 7972800 is 82797.

7972800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 52725 + ... + 52875.

Almost surely, 2^7972800 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 7972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

7972800 is an abundant number, since it is smaller than the sum of its proper divisors (20751552).

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

7972800 is a wasteful number, since it uses less digits than its factorization.

7972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 7972800 is about 2823.6147045941. The cubic root of 7972800 is about 199.7730759581.

The spelling of 7972800 in words is "seven million, nine hundred seventy-two thousand, eight hundred".