7672900 has 27 divisors (see below), whose sum is σ = 16710519. Its totient is φ = 3058080.

The previous prime is 7672883. The next prime is 7672901. The reversal of 7672900 is 92767.

It is a happy number.

The square root of 7672900 is 2770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1758276 + 5914624 = 1326^2 + 2432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7672901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27562 + ... + 27838.

Almost surely, 2^7672900 is an apocalyptic number.

7672900 is the 2770-th square number.

It is an amenable number.

7672900 is an abundant number, since it is smaller than the sum of its proper divisors (9037619).

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

7672900 is a wasteful number, since it uses less digits than its factorization.

7672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The cubic root of 7672900 is about 197.2361482228.

The spelling of 7672900 in words is "seven million, six hundred seventy-two thousand, nine hundred".