77205984 has 96 divisors (see below), whose sum is σ = 211559040. Its totient is φ = 24632832.

The previous prime is 77205979. The next prime is 77205991. The reversal of 77205984 is 48950277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a house number.

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, 243394 + ... + 243710.

It is an arithmetic number, because the mean of its divisors is an integer number (2203740).

Almost surely, 2^77205984 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 77205984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105779520).

77205984 is an abundant number, since it is smaller than the sum of its proper divisors (134353056).

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

77205984 is a wasteful number, since it uses less digits than its factorization.

77205984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 77205984 is about 8786.6935760842. The cubic root of 77205984 is about 425.8111089215.

The spelling of 77205984 in words is "seventy-seven million, two hundred five thousand, nine hundred eighty-four".