76115220480 has 864 divisors, whose sum is σ = 297871544880. Its totient is φ = 18632540160.

The previous prime is 76115220463. The next prime is 76115220523. The reversal of 76115220480 is 8402251167.

76115220480 is a `hidden beast` number, since 7 + 6 + 1 + 152 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×76115220480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 420525990 + ... + 420526170.

Almost surely, 2^76115220480 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 76115220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148935772440).

76115220480 is an abundant number, since it is smaller than the sum of its proper divisors (221756324400).

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

76115220480 is a wasteful number, since it uses less digits than its factorization.

76115220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 76115220480 in words is "seventy-six billion, one hundred fifteen million, two hundred twenty thousand, four hundred eighty".