76887360 has 224 divisors, whose sum is σ = 296265600. Its totient is φ = 18616320.

The previous prime is 76887353. The next prime is 76887479. The reversal of 76887360 is 6378867.

It is a super-2 number, since 2×76887360² = 11823332255539200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94636 + ... + 95444.

Almost surely, 2^76887360 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 76887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132800).

76887360 is an abundant number, since it is smaller than the sum of its proper divisors (219378240).

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

76887360 is a wasteful number, since it uses less digits than its factorization.

76887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76887360 is about 8768.5437787582. The cubic root of 76887360 is about 425.2245364844.

The spelling of 76887360 in words is "seventy-six million, eight hundred eighty-seven thousand, three hundred sixty".