8079532032 has 448 divisors, whose sum is σ = 26862877440. Its totient is φ = 2141061120.

The previous prime is 8079532009. The next prime is 8079532057. The reversal of 8079532032 is 2302359708.

It is a super-2 number, since 2×8079532032² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425238519 + ... + 425238537.

It is an arithmetic number, because the mean of its divisors is an integer number (59961780).

Almost surely, 2^8079532032 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 8079532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431438720).

8079532032 is an abundant number, since it is smaller than the sum of its proper divisors (18783345408).

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

8079532032 is a wasteful number, since it uses less digits than its factorization.

8079532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 8079532032 is about 89886.2171414506. The cubic root of 8079532032 is about 2006.6058268377.

The spelling of 8079532032 in words is "eight billion, seventy-nine million, five hundred thirty-two thousand, thirty-two".