7977621960 has 1344 divisors, whose sum is σ = 37679644800. Its totient is φ = 1478062080.

The previous prime is 7977621959. The next prime is 7977621961. The reversal of 7977621960 is 691267797.

It is a happy number.

7977621960 is a `hidden beast` number, since 7 + 9 + 7 + 7 + 621 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7977621959) and next prime (7977621961).

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

It is a junction number, because it is equal to n+sod(n) for n = 7977621897 and 7977621906.

It is not an unprimeable number, because it can be changed into a prime (7977621961) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 419874831 + ... + 419874849.

It is an arithmetic number, because the mean of its divisors is an integer number (28035450).

Almost surely, 2^7977621960 is an apocalyptic number.

7977621960 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 7977621960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839822400).

7977621960 is an abundant number, since it is smaller than the sum of its proper divisors (29702022840).

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

7977621960 is a wasteful number, since it uses less digits than its factorization.

7977621960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 7977621960 is about 89317.5344487296. The cubic root of 7977621960 is about 1998.1334218182.

The spelling of 7977621960 in words is "seven billion, nine hundred seventy-seven million, six hundred twenty-one thousand, nine hundred sixty".