76538880 has 264 divisors, whose sum is σ = 291230784. Its totient is φ = 18432000.

The previous prime is 76538873. The next prime is 76538881. The reversal of 76538880 is 8883567.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76538881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506805 + ... + 506955.

Almost surely, 2^76538880 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 76538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145615392).

76538880 is an abundant number, since it is smaller than the sum of its proper divisors (214691904).

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

76538880 is a wasteful number, since it uses less digits than its factorization.

76538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 76538880 is about 8748.6501815994. The cubic root of 76538880 is about 424.5811421177.

The spelling of 76538880 in words is "seventy-six million, five hundred thirty-eight thousand, eight hundred eighty".