80752560 has 160 divisors (see below), whose sum is σ = 290552832. Its totient is φ = 18170880.

The previous prime is 80752543. The next prime is 80752561. The reversal of 80752560 is 6525708.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80752561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118942 + ... + 119618.

Almost surely, 2^80752560 is an apocalyptic number.

80752560 is a gapful number since it is divisible by the number (80) 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 80752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145276416).

80752560 is an abundant number, since it is smaller than the sum of its proper divisors (209800272).

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

80752560 is a wasteful number, since it uses less digits than its factorization.

80752560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 80752560 is about 8986.2428188871. The cubic root of 80752560 is about 432.2338411632.

The spelling of 80752560 in words is "eighty million, seven hundred fifty-two thousand, five hundred sixty".