77137984 has 84 divisors (see below), whose sum is σ = 192422272. Its totient is φ = 30032640.

The previous prime is 77137979. The next prime is 77138003. The reversal of 77137984 is 48973177.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53497 + ... + 54919.

Almost surely, 2^77137984 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 77137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96211136).

77137984 is an abundant number, since it is smaller than the sum of its proper divisors (115284288).

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

77137984 is a wasteful number, since it uses less digits than its factorization.

77137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its digits is 296352, while the sum is 46.

The square root of 77137984 is about 8782.8232362948. The cubic root of 77137984 is about 425.6860596316.

The spelling of 77137984 in words is "seventy-seven million, one hundred thirty-seven thousand, nine hundred eighty-four".