76316577408 has 160 divisors (see below), whose sum is σ = 230968188000. Its totient is φ = 25007491584.

The previous prime is 76316577401. The next prime is 76316577427. The reversal of 76316577408 is 80477561367.

76316577408 is a `hidden beast` number, since 7 + 6 + 3 + 165 + 77 + 408 = 666.

It is a super-3 number, since 3×76316577408³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76316577401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549333 + ... + 674091.

It is an arithmetic number, because the mean of its divisors is an integer number (1443551175).

Almost surely, 2^76316577408 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 76316577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115484094000).

76316577408 is an abundant number, since it is smaller than the sum of its proper divisors (154651610592).

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

76316577408 is a wasteful number, since it uses less digits than its factorization.

76316577408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124844 (or 124823 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 76316577408 in words is "seventy-six billion, three hundred sixteen million, five hundred seventy-seven thousand, four hundred eight".