7920749760 has 448 divisors, whose sum is σ = 31756161024. Its totient is φ = 1624780800.

The previous prime is 7920749743. The next prime is 7920749819. The reversal of 7920749760 is 679470297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 6134715 + ... + 6136005.

It is an arithmetic number, because the mean of its divisors is an integer number (70884288).

Almost surely, 2^7920749760 is an apocalyptic number.

7920749760 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 7920749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878080512).

7920749760 is an abundant number, since it is smaller than the sum of its proper divisors (23835411264).

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

7920749760 is a wasteful number, since it uses less digits than its factorization.

7920749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 7920749760 is about 88998.5941461999. The cubic root of 7920749760 is about 1993.3738848760.

The spelling of 7920749760 in words is "seven billion, nine hundred twenty million, seven hundred forty-nine thousand, seven hundred sixty".