7695997920 has 480 divisors, whose sum is σ = 30981823488. Its totient is φ = 1782300672.

The previous prime is 7695997909. The next prime is 7695997949. The reversal of 7695997920 is 297995967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2862817 + ... + 2865503.

Almost surely, 2^7695997920 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 7695997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490911744).

7695997920 is an abundant number, since it is smaller than the sum of its proper divisors (23285825568).

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

7695997920 is a wasteful number, since it uses less digits than its factorization.

7695997920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The square root of 7695997920 is about 87726.8369428649. The cubic root of 7695997920 is about 1974.3386490441.

The spelling of 7695997920 in words is "seven billion, six hundred ninety-five million, nine hundred ninety-seven thousand, nine hundred twenty".