78900312 has 64 divisors (see below), whose sum is σ = 210643200. Its totient is φ = 24554880.

The previous prime is 78900307. The next prime is 78900323. The reversal of 78900312 is 21300987.

It is a happy number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 78900312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31158 + ... + 33594.

It is an arithmetic number, because the mean of its divisors is an integer number (3291300).

Almost surely, 2^78900312 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 78900312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105321600).

78900312 is an abundant number, since it is smaller than the sum of its proper divisors (131742888).

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

78900312 is a wasteful number, since it uses less digits than its factorization.

78900312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 78900312 is about 8882.5847589539. The cubic root of 78900312 is about 428.9034834845.

The spelling of 78900312 in words is "seventy-eight million, nine hundred thousand, three hundred twelve".