78615360 has 196 divisors, whose sum is σ = 281508708. Its totient is φ = 20901888.

The previous prime is 78615347. The next prime is 78615367. The reversal of 78615360 is 6351687.

78615360 is a `hidden beast` number, since 7 + 8 + 615 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 53934336 = 4968^2 + 7344^2 .

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 (78615367) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233112 + ... + 233448.

Almost surely, 2^78615360 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 78615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140754354).

78615360 is an abundant number, since it is smaller than the sum of its proper divisors (202893348).

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

78615360 is an equidigital number, since it uses as much as digits as its factorization.

78615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

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

The square root of 78615360 is about 8866.5303247663. The cubic root of 78615360 is about 428.3865259515.

The spelling of 78615360 in words is "seventy-eight million, six hundred fifteen thousand, three hundred sixty".