84707280 has 210 divisors, whose sum is σ = 331887426. Its totient is φ = 19361664.

The previous prime is 84707267. The next prime is 84707297. The reversal of 84707280 is 8270748.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 16941456 = 8232^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (210).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12101037 + ... + 12101043.

Almost surely, 2^84707280 is an apocalyptic number.

84707280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84707280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165943713).

84707280 is an abundant number, since it is smaller than the sum of its proper divisors (247180146).

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

84707280 is an frugal number, since it uses more digits than its factorization.

84707280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 84707280 is about 9203.6557953891. The cubic root of 84707280 is about 439.1776651626.

The spelling of 84707280 in words is "eighty-four million, seven hundred seven thousand, two hundred eighty".