78960224 has 96 divisors (see below), whose sum is σ = 186955776. Its totient is φ = 32117760.

The previous prime is 78960221. The next prime is 78960229. The reversal of 78960224 is 42206987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78960221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576284 + ... + 576420.

It is an arithmetic number, because the mean of its divisors is an integer number (1947456).

Almost surely, 2^78960224 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 78960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93477888).

78960224 is an abundant number, since it is smaller than the sum of its proper divisors (107995552).

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

78960224 is a wasteful number, since it uses less digits than its factorization.

78960224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 78960224 is about 8885.9565607761. The cubic root of 78960224 is about 429.0120169132.

The spelling of 78960224 in words is "seventy-eight million, nine hundred sixty thousand, two hundred twenty-four".