77605880 has 64 divisors (see below), whose sum is σ = 200534400. Its totient is φ = 26732160.

The previous prime is 77605859. The next prime is 77605919. The reversal of 77605880 is 8850677.

It is a super-2 number, since 2×77605880² = 12045345221148800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3719 + ... + 13001.

It is an arithmetic number, because the mean of its divisors is an integer number (3133350).

Almost surely, 2^77605880 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 77605880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100267200).

77605880 is an abundant number, since it is smaller than the sum of its proper divisors (122928520).

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

77605880 is a wasteful number, since it uses less digits than its factorization.

77605880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 77605880 is about 8809.4199582038. The cubic root of 77605880 is about 426.5450201168.

The spelling of 77605880 in words is "seventy-seven million, six hundred five thousand, eight hundred eighty".