78801360 has 160 divisors (see below), whose sum is σ = 280696320. Its totient is φ = 18086400.

The previous prime is 78801353. The next prime is 78801361. The reversal of 78801360 is 6310887.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78801361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49375 + ... + 50945.

It is an arithmetic number, because the mean of its divisors is an integer number (1754352).

Almost surely, 2^78801360 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 78801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140348160).

78801360 is an abundant number, since it is smaller than the sum of its proper divisors (201894960).

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

78801360 is a wasteful number, since it uses less digits than its factorization.

78801360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78801360 is about 8877.0130111429. The cubic root of 78801360 is about 428.7241068718.

The spelling of 78801360 in words is "seventy-eight million, eight hundred one thousand, three hundred sixty".