7951288900 has 81 divisors (see below), whose sum is σ = 17807120037. Its totient is φ = 3081715200.

The previous prime is 7951288897. The next prime is 7951288949. The reversal of 7951288900 is 98821597.

The square root of 7951288900 is 89170.

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

It can be written as a sum of positive squares in 13 ways, for example, as 339075396 + 7612213504 = 18414^2 + 87248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32992780 + ... + 32993020.

Almost surely, 2^7951288900 is an apocalyptic number.

7951288900 is the 89170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7951288900

7951288900 is an abundant number, since it is smaller than the sum of its proper divisors (9855831137).

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

7951288900 is a wasteful number, since it uses less digits than its factorization.

7951288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The cubic root of 7951288900 is about 1995.9324748944.

Multiplying 7951288900 by its sum of digits (49), we get a square (389613156100 = 624190²).

The spelling of 7951288900 in words is "seven billion, nine hundred fifty-one million, two hundred eighty-eight thousand, nine hundred".