85792320 has 84 divisors (see below), whose sum is σ = 295099740. Its totient is φ = 22877184.

The previous prime is 85792309. The next prime is 85792403. The reversal of 85792320 is 2329758.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 71774784 = 3744^2 + 8472^2 .

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 11 ways as a sum of consecutive naturals, for example, 12015 + ... + 17774.

Almost surely, 2^85792320 is an apocalyptic number.

85792320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85792320 is an abundant number, since it is smaller than the sum of its proper divisors (209307420).

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

85792320 is a wasteful number, since it uses less digits than its factorization.

85792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29812 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85792320 is about 9262.4143720738. The cubic root of 85792320 is about 441.0448995579.

The spelling of 85792320 in words is "eighty-five million, seven hundred ninety-two thousand, three hundred twenty".