78864516 has 120 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 23779008.

The previous prime is 78864491. The next prime is 78864517. The reversal of 78864516 is 61546887.

It is a happy number.

78864516 is a `hidden beast` number, since 78 + 8 + 64 + 516 = 666.

It is a super-2 number, since 2×78864516² = 12439223767828512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78864517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141310 + ... + 141866.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^78864516 is an apocalyptic number.

78864516 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78864516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

78864516 is an abundant number, since it is smaller than the sum of its proper divisors (147995964).

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

78864516 is a wasteful number, since it uses less digits than its factorization.

78864516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78864516 is about 8880.5695763279. The cubic root of 78864516 is about 428.8386111111.

The spelling of 78864516 in words is "seventy-eight million, eight hundred sixty-four thousand, five hundred sixteen".