4312576080 has 400 divisors, whose sum is σ = 15823518480. Its totient is φ = 1086898176.

The previous prime is 4312576057. The next prime is 4312576117. The reversal of 4312576080 is 806752134.

4312576080 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 576 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118200384 + 4194375696 = 10872^2 + 64764^2 .

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9959544 + ... + 9959976.

Almost surely, 2^4312576080 is an apocalyptic number.

4312576080 is a gapful number since it is divisible by the number (40) 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 4312576080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911759240).

4312576080 is an abundant number, since it is smaller than the sum of its proper divisors (11510942400).

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

4312576080 is a wasteful number, since it uses less digits than its factorization.

4312576080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4312576080 is about 65670.2069434839. The cubic root of 4312576080 is about 1627.7170896891.

The spelling of 4312576080 in words is "four billion, three hundred twelve million, five hundred seventy-six thousand, eighty".