76887860 has 72 divisors (see below), whose sum is σ = 190792224. Its totient is φ = 25945920.

The previous prime is 76887859. The next prime is 76887871. The reversal of 76887860 is 6878867.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76887799 and 76887808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65075 + ... + 66245.

It is an arithmetic number, because the mean of its divisors is an integer number (2649892).

Almost surely, 2^76887860 is an apocalyptic number.

76887860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76887860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95396112).

76887860 is an abundant number, since it is smaller than the sum of its proper divisors (113904364).

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

76887860 is a wasteful number, since it uses less digits than its factorization.

76887860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The square root of 76887860 is about 8768.5722897174. The cubic root of 76887860 is about 425.2254582302.

The spelling of 76887860 in words is "seventy-six million, eight hundred eighty-seven thousand, eight hundred sixty".