78122880 has 320 divisors, whose sum is σ = 306575280. Its totient is φ = 18800640.

The previous prime is 78122867. The next prime is 78122893. The reversal of 78122880 is 8822187.

It is an interprime number because it is at equal distance from previous prime (78122867) and next prime (78122893).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78122880² = 12206368758988800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570172 + ... + 570308.

Almost surely, 2^78122880 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 78122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153287640).

78122880 is an abundant number, since it is smaller than the sum of its proper divisors (228452400).

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

78122880 is a wasteful number, since it uses less digits than its factorization.

78122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

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

The square root of 78122880 is about 8838.7148387082. The cubic root of 78122880 is about 427.4901198086.

The spelling of 78122880 in words is "seventy-eight million, one hundred twenty-two thousand, eight hundred eighty".