84320784 has 80 divisors (see below), whose sum is σ = 254795200. Its totient is φ = 26625024.

The previous prime is 84320771. The next prime is 84320791. The reversal of 84320784 is 48702348.

It is a super-2 number, since 2×84320784² = 14219989228749312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3072 + ... + 13344.

It is an arithmetic number, because the mean of its divisors is an integer number (3184940).

Almost surely, 2^84320784 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 84320784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127397600).

84320784 is an abundant number, since it is smaller than the sum of its proper divisors (170474416).

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

84320784 is a wasteful number, since it uses less digits than its factorization.

84320784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84320784 is about 9182.6349159705. The cubic root of 84320784 is about 438.5086977615.

The spelling of 84320784 in words is "eighty-four million, three hundred twenty thousand, seven hundred eighty-four".