7713898920 has 1152 divisors, whose sum is σ = 35711020800. Its totient is φ = 1451188224.

The previous prime is 7713898909. The next prime is 7713898921. The reversal of 7713898920 is 298983177.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7713898921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 405994671 + ... + 405994689.

It is an arithmetic number, because the mean of its divisors is an integer number (30999150).

Almost surely, 2^7713898920 is an apocalyptic number.

7713898920 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 7713898920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855510400).

7713898920 is an abundant number, since it is smaller than the sum of its proper divisors (27997121880).

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

7713898920 is a wasteful number, since it uses less digits than its factorization.

7713898920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 7713898920 is about 87828.8046144316. The cubic root of 7713898920 is about 1975.8682435766.

The spelling of 7713898920 in words is "seven billion, seven hundred thirteen million, eight hundred ninety-eight thousand, nine hundred twenty".