7722977920 has 128 divisors (see below), whose sum is σ = 21781324800. Its totient is φ = 2562416640.

The previous prime is 7722977917. The next prime is 7722977939. The reversal of 7722977920 is 297792277.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111076 + ... + 166684.

It is an arithmetic number, because the mean of its divisors is an integer number (170166600).

Almost surely, 2^7722977920 is an apocalyptic number.

7722977920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7722977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890662400).

7722977920 is an abundant number, since it is smaller than the sum of its proper divisors (14058346880).

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

7722977920 is a wasteful number, since it uses less digits than its factorization.

7722977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55666 (or 55654 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 52.

The square root of 7722977920 is about 87880.4751921609. The cubic root of 7722977920 is about 1976.6431165142.

The spelling of 7722977920 in words is "seven billion, seven hundred twenty-two million, nine hundred seventy-seven thousand, nine hundred twenty".