84765720 has 128 divisors (see below), whose sum is σ = 278288640. Its totient is φ = 20528640.

The previous prime is 84765719. The next prime is 84765743. The reversal of 84765720 is 2756748.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 104115 + ... + 104925.

It is an arithmetic number, because the mean of its divisors is an integer number (2174130).

Almost surely, 2^84765720 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 84765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144320).

84765720 is an abundant number, since it is smaller than the sum of its proper divisors (193522920).

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

84765720 is a wasteful number, since it uses less digits than its factorization.

84765720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 84765720 is about 9206.8300733749. The cubic root of 84765720 is about 439.2786389425.

It can be divided in two parts, 8476 and 5720, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 84765720 in words is "eighty-four million, seven hundred sixty-five thousand, seven hundred twenty".