7981403976 has 192 divisors, whose sum is σ = 26777587200. Its totient is φ = 2091308544.

The previous prime is 7981403953. The next prime is 7981403987. The reversal of 7981403976 is 6793041897.

It is a happy number.

7981403976 is a `hidden beast` number, since 79 + 81 + 403 + 97 + 6 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1024785 + ... + 1032543.

It is an arithmetic number, because the mean of its divisors is an integer number (139466600).

Almost surely, 2^7981403976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7981403976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388793600).

7981403976 is an abundant number, since it is smaller than the sum of its proper divisors (18796183224).

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

7981403976 is a wasteful number, since it uses less digits than its factorization.

7981403976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7981403976 is about 89338.7036843495. The cubic root of 7981403976 is about 1998.4491290438.

The spelling of 7981403976 in words is "seven billion, nine hundred eighty-one million, four hundred three thousand, nine hundred seventy-six".