76578670080 has 1440 divisors, whose sum is σ = 326877078528. Its totient is φ = 17020108800.

The previous prime is 76578670079. The next prime is 76578670097. The reversal of 76578670080 is 8007687567.

76578670080 is a `hidden beast` number, since 7 + 6 + 578 + 67 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×76578670080² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76578669999 and 76578670026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2470279665 + ... + 2470279695.

Almost surely, 2^76578670080 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 76578670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163438539264).

76578670080 is an abundant number, since it is smaller than the sum of its proper divisors (250298408448).

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

76578670080 is a wasteful number, since it uses less digits than its factorization.

76578670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 76578670080 in words is "seventy-six billion, five hundred seventy-eight million, six hundred seventy thousand, eighty".