7942979200 has 192 divisors, whose sum is σ = 21651036120. Its totient is φ = 2860646400.

The previous prime is 7942979197. The next prime is 7942979227. The reversal of 7942979200 is 29792497.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1454354496 + 6488624704 = 38136^2 + 80552^2 .

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, 1703272 + ... + 1707928.

Almost surely, 2^7942979200 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 7942979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10825518060).

7942979200 is an abundant number, since it is smaller than the sum of its proper divisors (13708056920).

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

7942979200 is a wasteful number, since it uses less digits than its factorization.

7942979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 7942979200 is about 89123.3931131440. The cubic root of 7942979200 is about 1995.2369322644.

The spelling of 7942979200 in words is "seven billion, nine hundred forty-two million, nine hundred seventy-nine thousand, two hundred".