78132704 has 48 divisors (see below), whose sum is σ = 168426720. Its totient is φ = 35458560.

The previous prime is 78132701. The next prime is 78132709. The reversal of 78132704 is 40723187.

It is a happy number.

It is a super-2 number, since 2×78132704² = 12209438868703232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78132701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23837 + ... + 26915.

It is an arithmetic number, because the mean of its divisors is an integer number (3508890).

Almost surely, 2^78132704 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 78132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213360).

78132704 is an abundant number, since it is smaller than the sum of its proper divisors (90294016).

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

78132704 is a wasteful number, since it uses less digits than its factorization.

78132704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 78132704 is about 8839.2705581400. The cubic root of 78132704 is about 427.5080381056.

The spelling of 78132704 in words is "seventy-eight million, one hundred thirty-two thousand, seven hundred four".