80288352 has 72 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 26568960.

The previous prime is 80288347. The next prime is 80288363. The reversal of 80288352 is 25388208.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 41977 + ... + 43847.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2^80288352 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 80288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

80288352 is an abundant number, since it is smaller than the sum of its proper divisors (149686848).

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

80288352 is a wasteful number, since it uses less digits than its factorization.

80288352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80288352 is about 8960.3767777923. The cubic root of 80288352 is about 431.4040135472.

The spelling of 80288352 in words is "eighty million, two hundred eighty-eight thousand, three hundred fifty-two".