78492760473600 has 1224 divisors, whose sum is σ = 318116262714432. Its totient is φ = 19027486310400.

The previous prime is 78492760473599. The next prime is 78492760473637. The reversal of 78492760473600 is 637406729487.

It is a happy number.

78492760473600 is a `hidden beast` number, since 7 + 8 + 4 + 92 + 76 + 0 + 473 + 6 + 0 + 0 = 666.

78492760473600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78492760473600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4379434239 + ... + 4379452161.

Almost surely, 2^{78492760473600} 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 78492760473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159058131357216).

78492760473600 is an abundant number, since it is smaller than the sum of its proper divisors (239623502240832).

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

78492760473600 is an equidigital number, since it uses as much as digits as its factorization.

78492760473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 78492760473600 in words is "seventy-eight trillion, four hundred ninety-two billion, seven hundred sixty million, four hundred seventy-three thousand, six hundred".