76686144 has 56 divisors (see below), whose sum is σ = 203716128. Its totient is φ = 25459200.

The previous prime is 76686143. The next prime is 76686173. The reversal of 76686144 is 44168667.

It is a junction number, because it is equal to n+sod(n) for n = 76686096 and 76686105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76686143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58294 + ... + 59594.

It is an arithmetic number, because the mean of its divisors is an integer number (3637788).

Almost surely, 2^76686144 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 76686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101858064).

76686144 is an abundant number, since it is smaller than the sum of its proper divisors (127029984).

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

76686144 is a wasteful number, since it uses less digits than its factorization.

76686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 76686144 is about 8757.0625211883. The cubic root of 76686144 is about 424.8532716095.

The spelling of 76686144 in words is "seventy-six million, six hundred eighty-six thousand, one hundred forty-four".