7976854080 has 504 divisors, whose sum is σ = 30861073152. Its totient is φ = 1960298496.

The previous prime is 7976854033. The next prime is 7976854099. The reversal of 7976854080 is 804586797.

7976854080 is a `hidden beast` number, since 7 + 97 + 6 + 8 + 540 + 8 + 0 = 666.

It is a super-2 number, since 2×7976854080² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141137 + ... + 13141743.

It is an arithmetic number, because the mean of its divisors is an integer number (61232288).

Almost surely, 2^7976854080 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 7976854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430536576).

7976854080 is an abundant number, since it is smaller than the sum of its proper divisors (22884219072).

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

7976854080 is a wasteful number, since it uses less digits than its factorization.

7976854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7976854080 is about 89313.2357492438. The cubic root of 7976854080 is about 1998.0693101514.

The spelling of 7976854080 in words is "seven billion, nine hundred seventy-six million, eight hundred fifty-four thousand, eighty".