7920900 has 108 divisors (see below), whose sum is σ = 26776932. Its totient is φ = 1946880.

The previous prime is 7920893. The next prime is 7920949. The reversal of 7920900 is 90297.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 7918596 = 48^2 + 2814^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11362 + ... + 12038.

Almost surely, 2^7920900 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 7920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388466).

7920900 is an abundant number, since it is smaller than the sum of its proper divisors (18856032).

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

7920900 is a wasteful number, since it uses less digits than its factorization.

7920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 7920900 is about 2814.4093518890. The cubic root of 7920900 is about 199.3386488169.

The spelling of 7920900 in words is "seven million, nine hundred twenty thousand, nine hundred".