78170560 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 25546752.

The previous prime is 78170551. The next prime is 78170563. The reversal of 78170560 is 6507187.

It is a super-2 number, since 2×78170560² = 12221272901427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78170563) 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, 1817899 + ... + 1817941.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^78170560 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 78170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

78170560 is an abundant number, since it is smaller than the sum of its proper divisors (147137600).

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

78170560 is a wasteful number, since it uses less digits than its factorization.

78170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 78170560 is about 8841.4116519931. The cubic root of 78170560 is about 427.5770707917.

The spelling of 78170560 in words is "seventy-eight million, one hundred seventy thousand, five hundred sixty".