78132320 has 48 divisors (see below), whose sum is σ = 210960288. Its totient is φ = 26787840.

The previous prime is 78132319. The next prime is 78132337. The reversal of 78132320 is 2323187.

It is a super-2 number, since 2×78132320² = 12209318857164800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78132320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33761 + ... + 36000.

It is an arithmetic number, because the mean of its divisors is an integer number (4395006).

Almost surely, 2^78132320 is an apocalyptic number.

78132320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78132320 is an abundant number, since it is smaller than the sum of its proper divisors (132827968).

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

78132320 is a wasteful number, since it uses less digits than its factorization.

78132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69783 (or 69775 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 78132320 is about 8839.2488368639. The cubic root of 78132320 is about 427.5073377444.

The spelling of 78132320 in words is "seventy-eight million, one hundred thirty-two thousand, three hundred twenty".