78561360 has 160 divisors (see below), whose sum is σ = 278196480. Its totient is φ = 20362752.

The previous prime is 78561337. The next prime is 78561361. The reversal of 78561360 is 6316587.

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 (78561361) 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, 79429 + ... + 80411.

It is an arithmetic number, because the mean of its divisors is an integer number (1738728).

Almost surely, 2^78561360 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 78561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139098240).

78561360 is an abundant number, since it is smaller than the sum of its proper divisors (199635120).

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

78561360 is a wasteful number, since it uses less digits than its factorization.

78561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78561360 is about 8863.4846420581. The cubic root of 78561360 is about 428.2884188683.

It can be divided in two parts, 7856 and 1360, that added together give a square (9216 = 96²).

The spelling of 78561360 in words is "seventy-eight million, five hundred sixty-one thousand, three hundred sixty".