78545610 has 192 divisors, whose sum is σ = 254741760. Its totient is φ = 16496640.

The previous prime is 78545609. The next prime is 78545617. The reversal of 78545610 is 1654587.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (78545617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218611 + ... + 218969.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^78545610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78545610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

78545610 is an abundant number, since it is smaller than the sum of its proper divisors (176196150).

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

78545610 is a wasteful number, since it uses less digits than its factorization.

78545610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 78545610 is about 8862.5961207763. The cubic root of 78545610 is about 428.2597958343.

The spelling of 78545610 in words is "seventy-eight million, five hundred forty-five thousand, six hundred ten".