78180964 has 9 divisors (see below), whose sum is σ = 136847641. Its totient is φ = 39081640.

The previous prime is 78180929. The next prime is 78180997. The reversal of 78180964 is 46908187.

The square root of 78180964 is 8842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64931364 + 13249600 = 8058^2 + 3640^2 .

It is a super-2 number, since 2×78180964² = 12224526263938592, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78180964.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15474 + ... + 19894.

Almost surely, 2^78180964 is an apocalyptic number.

78180964 is the 8842-nd square number.

It is an amenable number.

78180964 is a deficient number, since it is larger than the sum of its proper divisors (58666677).

78180964 is an frugal number, since it uses more digits than its factorization.

78180964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 78180964 is about 427.5960392051.

The spelling of 78180964 in words is "seventy-eight million, one hundred eighty thousand, nine hundred sixty-four".