78959880 has 128 divisors (see below), whose sum is σ = 265939200. Its totient is φ = 20837376.

The previous prime is 78959873. The next prime is 78959899. The reversal of 78959880 is 8895987.

It is a super-2 number, since 2×78959880² = 12469325299228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121717 + ... + 122363.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 2^78959880 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 78959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

78959880 is an abundant number, since it is smaller than the sum of its proper divisors (186979320).

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

78959880 is a wasteful number, since it uses less digits than its factorization.

78959880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 78959880 is about 8885.9372043696. The cubic root of 78959880 is about 429.0113938976.

The spelling of 78959880 in words is "seventy-eight million, nine hundred fifty-nine thousand, eight hundred eighty".