78132768 has 48 divisors (see below), whose sum is σ = 234400320. Its totient is φ = 22323456.

The previous prime is 78132767. The next prime is 78132779. The reversal of 78132768 is 86723187.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78132768² = 12209458870683648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78132767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57463 + ... + 58806.

It is an arithmetic number, because the mean of its divisors is an integer number (4883340).

Almost surely, 2^78132768 is an apocalyptic number.

It is an amenable number.

78132768 is an abundant number, since it is smaller than the sum of its proper divisors (156267552).

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

78132768 is a wasteful number, since it uses less digits than its factorization.

78132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116289 (or 116281 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 78132768 is about 8839.2741783475. The cubic root of 78132768 is about 427.5081548323.

The spelling of 78132768 in words is "seventy-eight million, one hundred thirty-two thousand, seven hundred sixty-eight".