77289984 has 80 divisors (see below), whose sum is σ = 228824640. Its totient is φ = 25758720.

The previous prime is 77289983. The next prime is 77290027. The reversal of 77289984 is 48998277.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 77289984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77289983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11029 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (2860308).

Almost surely, 2^77289984 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 77289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114412320).

77289984 is an abundant number, since it is smaller than the sum of its proper divisors (151534656).

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

77289984 is an equidigital number, since it uses as much as digits as its factorization.

77289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5596 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 77289984 is about 8791.4722316572. The cubic root of 77289984 is about 425.9654802419.

The spelling of 77289984 in words is "seventy-seven million, two hundred eighty-nine thousand, nine hundred eighty-four".