7978179040 has 288 divisors, whose sum is σ = 21964128480. Its totient is φ = 2728747008.

The previous prime is 7978179019. The next prime is 7978179089. The reversal of 7978179040 is 409718797.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27229134 + ... + 27229426.

It is an arithmetic number, because the mean of its divisors is an integer number (76264335).

Almost surely, 2^7978179040 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 7978179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982064240).

7978179040 is an abundant number, since it is smaller than the sum of its proper divisors (13985949440).

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

7978179040 is a wasteful number, since it uses less digits than its factorization.

7978179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 52.

The square root of 7978179040 is about 89320.6529308872. The cubic root of 7978179040 is about 1998.1799308432.

The spelling of 7978179040 in words is "seven billion, nine hundred seventy-eight million, one hundred seventy-nine thousand, forty".