78691470400 has 63 divisors (see below), whose sum is σ = 193657813471. Its totient is φ = 31472099840.

The previous prime is 78691470373. The next prime is 78691470401. The reversal of 78691470400 is 407419687.

The square root of 78691470400 is 280520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4254170176 + 74437300224 = 65224^2 + 272832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78691470401) 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 8 ways as a sum of consecutive naturals, for example, 11217294 + ... + 11224306.

Almost surely, 2^78691470400 is an apocalyptic number.

78691470400 is the 280520-th square number.

It is an amenable number.

78691470400 is an abundant number, since it is smaller than the sum of its proper divisors (114966343071).

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

78691470400 is an frugal number, since it uses more digits than its factorization.

78691470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 78691470400 in words is "seventy-eight billion, six hundred ninety-one million, four hundred seventy thousand, four hundred".