78076512 has 144 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 23777280.

The previous prime is 78076489. The next prime is 78076517. The reversal of 78076512 is 21567087.

78076512 is a `hidden beast` number, since 78 + 0 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78076512² = 12191883452172288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78076517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180937 + ... + 181367.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^78076512 is an apocalyptic number.

78076512 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 78076512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

78076512 is an abundant number, since it is smaller than the sum of its proper divisors (163928160).

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

78076512 is a wasteful number, since it uses less digits than its factorization.

78076512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

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

The square root of 78076512 is about 8836.0914436192. The cubic root of 78076512 is about 427.4055274981.

The spelling of 78076512 in words is "seventy-eight million, seventy-six thousand, five hundred twelve".