85764480 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 21657600.

The previous prime is 85764479. The next prime is 85764487. The reversal of 85764480 is 8446758.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85764487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35305 + ... + 37655.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^85764480 is an apocalyptic number.

85764480 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 85764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

85764480 is an abundant number, since it is smaller than the sum of its proper divisors (202120320).

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

85764480 is a wasteful number, since it uses less digits than its factorization.

85764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 85764480 is about 9260.9114022325. The cubic root of 85764480 is about 440.9971873680.

The spelling of 85764480 in words is "eighty-five million, seven hundred sixty-four thousand, four hundred eighty".