7999276900 has 72 divisors (see below), whose sum is σ = 18481770216. Its totient is φ = 2994739200.

The previous prime is 7999276897. The next prime is 7999276913. The reversal of 7999276900 is 96729997.

It can be written as a sum of positive squares in 12 ways, for example, as 5343317604 + 2655959296 = 73098^2 + 51536^2 .

It is a super-2 number, since 2×7999276900² (a number of 21 digits) contains 22 as substring.

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, 294702 + ... + 320698.

It is an arithmetic number, because the mean of its divisors is an integer number (256691253).

Almost surely, 2^7999276900 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 7999276900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9240885108).

7999276900 is an abundant number, since it is smaller than the sum of its proper divisors (10482493316).

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

7999276900 is a wasteful number, since it uses less digits than its factorization.

7999276900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26209 (or 26202 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 58.

The square root of 7999276900 is about 89438.6767567589. The cubic root of 7999276900 is about 1999.9397398510.

The spelling of 7999276900 in words is "seven billion, nine hundred ninety-nine million, two hundred seventy-six thousand, nine hundred".