7930770624 has 168 divisors, whose sum is σ = 26682220448. Its totient is φ = 2204651520.

The previous prime is 7930770611. The next prime is 7930770689. The reversal of 7930770624 is 4260770397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 7930770624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122604 + ... + 175764.

Almost surely, 2^7930770624 is an apocalyptic number.

7930770624 is a gapful number since it is divisible by the number (74) 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 7930770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341110224).

7930770624 is an abundant number, since it is smaller than the sum of its proper divisors (18751449824).

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

7930770624 is a wasteful number, since it uses less digits than its factorization.

7930770624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53223 (or 53210 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 7930770624 is about 89054.8742293200. The cubic root of 7930770624 is about 1994.2141635220.

The spelling of 7930770624 in words is "seven billion, nine hundred thirty million, seven hundred seventy thousand, six hundred twenty-four".