77987560 has 64 divisors (see below), whose sum is σ = 201600000. Its totient is φ = 26597376.

The previous prime is 77987521. The next prime is 77987561. The reversal of 77987560 is 6578977.

It is not an unprimeable number, because it can be changed into a prime (77987561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61816 + ... + 63064.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2^77987560 is an apocalyptic number.

77987560 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 77987560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800000).

77987560 is an abundant number, since it is smaller than the sum of its proper divisors (123612440).

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

77987560 is a wasteful number, since it uses less digits than its factorization.

77987560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 77987560 is about 8831.0565619296. The cubic root of 77987560 is about 427.2431524861.

The spelling of 77987560 in words is "seventy-seven million, nine hundred eighty-seven thousand, five hundred sixty".