85790376 has 72 divisors (see below), whose sum is σ = 270294570. Its totient is φ = 24510528.

The previous prime is 85790371. The next prime is 85790387. The reversal of 85790376 is 67309758.

It is a happy number.

85790376 is a `hidden beast` number, since 8 + 579 + 0 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 18714276 = 8190^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×85790376² = 14719977228442752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85790371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8631 + ... + 15686.

Almost surely, 2^85790376 is an apocalyptic number.

It is an amenable number.

85790376 is an abundant number, since it is smaller than the sum of its proper divisors (184504194).

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

85790376 is a wasteful number, since it uses less digits than its factorization.

85790376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24343 (or 24329 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 85790376 is about 9262.3094312380. The cubic root of 85790376 is about 441.0415682661.

The spelling of 85790376 in words is "eighty-five million, seven hundred ninety thousand, three hundred seventy-six".