32800080 has 80 divisors (see below), whose sum is σ = 107046720. Its totient is φ = 8285184.

The previous prime is 32800049. The next prime is 32800081. The reversal of 32800080 is 8000823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800081) 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, 964 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (1338084).

Almost surely, 2^32800080 is an apocalyptic number.

32800080 is a gapful number since it is divisible by the number (30) 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 32800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53523360).

32800080 is an abundant number, since it is smaller than the sum of its proper divisors (74246640).

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

32800080 is a wasteful number, since it uses less digits than its factorization.

32800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 32800080 is about 5727.1354096092. The cubic root of 32800080 is about 320.1043930237.

The spelling of 32800080 in words is "thirty-two million, eight hundred thousand, eighty".