78180828 has 48 divisors (see below), whose sum is σ = 200484480. Its totient is φ = 23515200.

The previous prime is 78180803. The next prime is 78180857. The reversal of 78180828 is 82808187.

It is a happy number.

It is a super-2 number, since 2×78180828² = 12224483733531168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78180828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16218 + ... + 20478.

It is an arithmetic number, because the mean of its divisors is an integer number (4176760).

Almost surely, 2^78180828 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 78180828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100242240).

78180828 is an abundant number, since it is smaller than the sum of its proper divisors (122303652).

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

78180828 is a wasteful number, since it uses less digits than its factorization.

78180828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 78180828 is about 8841.9923094289. The cubic root of 78180828 is about 427.5957912629.

The spelling of 78180828 in words is "seventy-eight million, one hundred eighty thousand, eight hundred twenty-eight".