78507360 has 192 divisors, whose sum is σ = 291211200. Its totient is φ = 19685376.

The previous prime is 78507323. The next prime is 78507367. The reversal of 78507360 is 6370587.

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 (78507367) 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, 72906 + ... + 73974.

It is an arithmetic number, because the mean of its divisors is an integer number (1516725).

Almost surely, 2^78507360 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 78507360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145605600).

78507360 is an abundant number, since it is smaller than the sum of its proper divisors (212703840).

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

78507360 is a wasteful number, since it uses less digits than its factorization.

78507360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 78507360 is about 8860.4379124285. The cubic root of 78507360 is about 428.1902668181.

The spelling of 78507360 in words is "seventy-eight million, five hundred seven thousand, three hundred sixty".