78536880 has 120 divisors (see below), whose sum is σ = 277683120. Its totient is φ = 19837440.

The previous prime is 78536879. The next prime is 78536891. The reversal of 78536880 is 8863587.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10810 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (2314026).

Almost surely, 2^78536880 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 78536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138841560).

78536880 is an abundant number, since it is smaller than the sum of its proper divisors (199146240).

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

78536880 is a wasteful number, since it uses less digits than its factorization.

78536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78536880 is about 8862.1035877494. The cubic root of 78536880 is about 428.2439288472.

The spelling of 78536880 in words is "seventy-eight million, five hundred thirty-six thousand, eight hundred eighty".