78780312 has 96 divisors (see below), whose sum is σ = 243341280. Its totient is φ = 22809600.

The previous prime is 78780293. The next prime is 78780337. The reversal of 78780312 is 21308787.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13437 + ... + 18387.

It is an arithmetic number, because the mean of its divisors is an integer number (2534805).

Almost surely, 2^78780312 is an apocalyptic number.

78780312 is a gapful number since it is divisible by the number (72) 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 78780312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121670640).

78780312 is an abundant number, since it is smaller than the sum of its proper divisors (164560968).

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

78780312 is a wasteful number, since it uses less digits than its factorization.

78780312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 78780312 is about 8875.8273980514. The cubic root of 78780312 is about 428.6859324522.

The spelling of 78780312 in words is "seventy-eight million, seven hundred eighty thousand, three hundred twelve".