78828120 has 128 divisors (see below), whose sum is σ = 300326400. Its totient is φ = 18016128.

The previous prime is 78828109. The next prime is 78828121. The reversal of 78828120 is 2182887.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78828121) 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, 2347 + ... + 12773.

It is an arithmetic number, because the mean of its divisors is an integer number (2346300).

Almost surely, 2^78828120 is an apocalyptic number.

78828120 is a gapful number since it is divisible by the number (70) 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 78828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150163200).

78828120 is an abundant number, since it is smaller than the sum of its proper divisors (221498280).

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

78828120 is a wasteful number, since it uses less digits than its factorization.

78828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 78828120 is about 8878.5201469614. The cubic root of 78828120 is about 428.7726312403.

The spelling of 78828120 in words is "seventy-eight million, eight hundred twenty-eight thousand, one hundred twenty".