7978776960 has 512 divisors, whose sum is σ = 32818867200. Its totient is φ = 1599897600.

The previous prime is 7978776943. The next prime is 7978777007. The reversal of 7978776960 is 696778797.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7978776891 and 7978776900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286430 + ... + 4288290.

It is an arithmetic number, because the mean of its divisors is an integer number (64099350).

Almost surely, 2^7978776960 is an apocalyptic number.

7978776960 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 7978776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409433600).

7978776960 is an abundant number, since it is smaller than the sum of its proper divisors (24840090240).

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

7978776960 is a wasteful number, since it uses less digits than its factorization.

7978776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 66.

The square root of 7978776960 is about 89323.9999104384. Note that the first 4 decimals coincide. The cubic root of 7978776960 is about 1998.2298470749.

The spelling of 7978776960 in words is "seven billion, nine hundred seventy-eight million, seven hundred seventy-six thousand, nine hundred sixty".