78498604800 has 972 divisors, whose sum is σ = 352771466320. Its totient is φ = 16301260800.

The previous prime is 78498604763. The next prime is 78498604801. The reversal of 78498604800 is 840689487.

78498604800 is a `hidden beast` number, since 7 + 84 + 9 + 86 + 0 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78498604801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48786396 + ... + 48788004.

Almost surely, 2^78498604800 is an apocalyptic number.

78498604800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78498604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176385733160).

78498604800 is an abundant number, since it is smaller than the sum of its proper divisors (274272861520).

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

78498604800 is a wasteful number, since it uses less digits than its factorization.

78498604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 78498604800 in words is "seventy-eight billion, four hundred ninety-eight million, six hundred four thousand, eight hundred".