78814580 has 48 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 28953600.

The previous prime is 78814577. The next prime is 78814597. The reversal of 78814580 is 8541887.

It can be written as a sum of positive squares in 8 ways, for example, as 40424164 + 38390416 = 6358^2 + 6196^2 .

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, 59930 + ... + 61230.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2^78814580 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 78814580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

78814580 is an abundant number, since it is smaller than the sum of its proper divisors (100330204).

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

78814580 is a wasteful number, since it uses less digits than its factorization.

78814580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 78814580 is about 8877.7575997546. The cubic root of 78814580 is about 428.7480802981.

The spelling of 78814580 in words is "seventy-eight million, eight hundred fourteen thousand, five hundred eighty".