80653600 has 72 divisors (see below), whose sum is σ = 198338868. Its totient is φ = 32025600.

The previous prime is 80653589. The next prime is 80653603. The reversal of 80653600 is 635608.

It can be written as a sum of positive squares in 6 ways, for example, as 300304 + 80353296 = 548^2 + 8964^2 .

It is not an unprimeable number, because it can be changed into a prime (80653603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144522 + ... + 145078.

Almost surely, 2^80653600 is an apocalyptic number.

80653600 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 80653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99169434).

80653600 is an abundant number, since it is smaller than the sum of its proper divisors (117685268).

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

80653600 is a wasteful number, since it uses less digits than its factorization.

80653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 80653600 is about 8980.7349365183. The cubic root of 80653600 is about 432.0572055018.

The spelling of 80653600 in words is "eighty million, six hundred fifty-three thousand, six hundred".