7970900 has 72 divisors (see below), whose sum is σ = 20207040. Its totient is φ = 2672640.

The previous prime is 7970887. The next prime is 7970917. The reversal of 7970900 is 90797.

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, 41204 + ... + 41396.

Almost surely, 2^7970900 is an apocalyptic number.

7970900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103520).

7970900 is an abundant number, since it is smaller than the sum of its proper divisors (12236140).

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

7970900 is a wasteful number, since it uses less digits than its factorization.

7970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 32.

The square root of 7970900 is about 2823.2782363770. The cubic root of 7970900 is about 199.7572053731.

The spelling of 7970900 in words is "seven million, nine hundred seventy thousand, nine hundred".