7959621600 has 576 divisors, whose sum is σ = 33477857280. Its totient is φ = 1787443200.

The previous prime is 7959621589. The next prime is 7959621601. The reversal of 7959621600 is 61269597.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7959621601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9222769 + ... + 9223631.

It is an arithmetic number, because the mean of its divisors is an integer number (58121280).

Almost surely, 2^7959621600 is an apocalyptic number.

7959621600 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 7959621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738928640).

7959621600 is an abundant number, since it is smaller than the sum of its proper divisors (25518235680).

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

7959621600 is a wasteful number, since it uses less digits than its factorization.

7959621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 7959621600 is about 89216.7114390572. The cubic root of 7959621600 is about 1996.6294562417.

The spelling of 7959621600 in words is "seven billion, nine hundred fifty-nine million, six hundred twenty-one thousand, six hundred".