76381560 has 96 divisors (see below), whose sum is σ = 249378480. Its totient is φ = 20275200.

The previous prime is 76381549. The next prime is 76381589. The reversal of 76381560 is 6518367.

76381560 is a `hidden beast` number, since 7 + 638 + 15 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118840 + ... + 119480.

Almost surely, 2^76381560 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 76381560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124689240).

76381560 is an abundant number, since it is smaller than the sum of its proper divisors (172996920).

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

76381560 is a wasteful number, since it uses less digits than its factorization.

76381560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76381560 is about 8739.6544554118. The cubic root of 76381560 is about 424.2900442176.

The spelling of 76381560 in words is "seventy-six million, three hundred eighty-one thousand, five hundred sixty".