80785824 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 22939392.

The previous prime is 80785813. The next prime is 80785829. The reversal of 80785824 is 42858708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80785829) 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, 160357 + ... + 160859.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^80785824 is an apocalyptic number.

80785824 is a gapful number since it is divisible by the number (84) 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 80785824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

80785824 is an abundant number, since it is smaller than the sum of its proper divisors (163069536).

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

80785824 is a wasteful number, since it uses less digits than its factorization.

80785824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 80785824 is about 8988.0934574580. The cubic root of 80785824 is about 432.2931823274.

The spelling of 80785824 in words is "eighty million, seven hundred eighty-five thousand, eight hundred twenty-four".