77607860 has 48 divisors (see below), whose sum is σ = 180738432. Its totient is φ = 27753600.

The previous prime is 77607853. The next prime is 77607863. The reversal of 77607860 is 6870677.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77607863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10529 + ... + 16311.

It is an arithmetic number, because the mean of its divisors is an integer number (3765384).

Almost surely, 2^77607860 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 77607860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90369216).

77607860 is an abundant number, since it is smaller than the sum of its proper divisors (103130572).

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

77607860 is a wasteful number, since it uses less digits than its factorization.

77607860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 77607860 is about 8809.5323371902. The cubic root of 77607860 is about 426.5486476424.

The spelling of 77607860 in words is "seventy-seven million, six hundred seven thousand, eight hundred sixty".