80600828 has 48 divisors (see below), whose sum is σ = 177666048. Its totient is φ = 31080000.

The previous prime is 80600827. The next prime is 80600857. The reversal of 80600828 is 82800608.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80600794 and 80600803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80600827) 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, 29813 + ... + 32403.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2^80600828 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 80600828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88833024).

80600828 is an abundant number, since it is smaller than the sum of its proper divisors (97065220).

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

80600828 is a wasteful number, since it uses less digits than its factorization.

80600828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 80600828 is about 8977.7963888696. The cubic root of 80600828 is about 431.9629526415.

The spelling of 80600828 in words is "eighty million, six hundred thousand, eight hundred twenty-eight".