78363417600 has 1848 divisors, whose sum is σ = 349566845040. Its totient is φ = 17199267840.

The previous prime is 78363417589. The next prime is 78363417631. The reversal of 78363417600 is 671436387.

78363417600 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 34 + 1 + 7 + 600 = 666.

It is a super-2 number, since 2×78363417600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4124390391 + ... + 4124390409.

Almost surely, 2^78363417600 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 78363417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174783422520).

78363417600 is an abundant number, since it is smaller than the sum of its proper divisors (271203427440).

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

78363417600 is a wasteful number, since it uses less digits than its factorization.

78363417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 78363417600 in words is "seventy-eight billion, three hundred sixty-three million, four hundred seventeen thousand, six hundred".