78760512 has 70 divisors (see below), whose sum is σ = 233486198. Its totient is φ = 26251776.

The previous prime is 78760501. The next prime is 78760523. The reversal of 78760512 is 21506787.

78760512 is a `hidden beast` number, since 7 + 87 + 60 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (78760501) and next prime (78760523).

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 331776 = 8856^2 + 576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2413 + ... + 12780.

Almost surely, 2^78760512 is an apocalyptic number.

78760512 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 78760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116743099).

78760512 is an abundant number, since it is smaller than the sum of its proper divisors (154725686).

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

78760512 is a wasteful number, since it uses less digits than its factorization.

78760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15198 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 78760512 is about 8874.7119389871. The cubic root of 78760512 is about 428.6500153030.

The spelling of 78760512 in words is "seventy-eight million, seven hundred sixty thousand, five hundred twelve".