7762988961 has 96 divisors (see below), whose sum is σ = 14233739520. Its totient is φ = 3967875072.

The previous prime is 7762988927. The next prime is 7762989001. The reversal of 7762988961 is 1698892677.

It is not a de Polignac number, because 7762988961 - 2¹⁰ = 7762987937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (7762988461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4823925 + ... + 4825533.

It is an arithmetic number, because the mean of its divisors is an integer number (148268120).

Almost surely, 2^7762988961 is an apocalyptic number.

It is an amenable number.

7762988961 is a deficient number, since it is larger than the sum of its proper divisors (6470750559).

7762988961 is a wasteful number, since it uses less digits than its factorization.

7762988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1812 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 7762988961 is about 88107.8257647980. The cubic root of 7762988961 is about 1980.0507555094.

The spelling of 7762988961 in words is "seven billion, seven hundred sixty-two million, nine hundred eighty-eight thousand, nine hundred sixty-one".