84777984 has 66 divisors (see below), whose sum is σ = 244821200. Its totient is φ = 28256256.

The previous prime is 84777967. The next prime is 84778007. The reversal of 84777984 is 48977748.

It is a super-2 number, since 2×84777984² = 14374613142208512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84777984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4617 + ... + 13815.

Almost surely, 2^84777984 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 84777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122410600).

84777984 is an abundant number, since it is smaller than the sum of its proper divisors (160043216).

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

84777984 is a wasteful number, since it uses less digits than its factorization.

84777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9204 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 84777984 is about 9207.4960765672. The cubic root of 84777984 is about 439.2998230306.

It can be divided in two parts, 8477 and 7984, that added together give a palindrome (16461).

The spelling of 84777984 in words is "eighty-four million, seven hundred seventy-seven thousand, nine hundred eighty-four".