78661080 has 96 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 20525568.

The previous prime is 78661067. The next prime is 78661087. The reversal of 78661080 is 8016687.

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 (78661087) by changing a digit.

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, 14596 + ... + 19244.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2^78661080 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 78661080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

78661080 is an abundant number, since it is smaller than the sum of its proper divisors (182482920).

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

78661080 is a wasteful number, since it uses less digits than its factorization.

78661080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78661080 is about 8869.1081851559. The cubic root of 78661080 is about 428.4695548336.

The spelling of 78661080 in words is "seventy-eight million, six hundred sixty-one thousand, eighty".