7697971600 has 240 divisors, whose sum is σ = 21441216960. Its totient is φ = 2648448000.

The previous prime is 7697971577. The next prime is 7697971601. The reversal of 7697971600 is 61797967.

It is not an unprimeable number, because it can be changed into a prime (7697971601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10115220 + ... + 10115980.

It is an arithmetic number, because the mean of its divisors is an integer number (89338404).

Almost surely, 2^7697971600 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 7697971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720608480).

7697971600 is an abundant number, since it is smaller than the sum of its proper divisors (13743245360).

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

7697971600 is a wasteful number, since it uses less digits than its factorization.

7697971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 52.

The square root of 7697971600 is about 87738.0852309873. The cubic root of 7697971600 is about 1974.5074112017.

The spelling of 7697971600 in words is "seven billion, six hundred ninety-seven million, nine hundred seventy-one thousand, six hundred".