78199413692400 has 1440 divisors, whose sum is σ = 377857228589568. Its totient is φ = 14999269478400.

The previous prime is 78199413692399. The next prime is 78199413692419. The reversal of 78199413692400 is 429631499187.

78199413692400 is a `hidden beast` number, since 7 + 8 + 1 + 9 + 9 + 4 + 136 + 92 + 400 = 666.

It is a super-2 number, since 2×78199413692400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96895342 + ... + 97699058.

Almost surely, 2^{78199413692400} is an apocalyptic number.

78199413692400 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 78199413692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188928614294784).

78199413692400 is an abundant number, since it is smaller than the sum of its proper divisors (299657814897168).

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

78199413692400 is a wasteful number, since it uses less digits than its factorization.

78199413692400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803781 (or 803758 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 78199413692400 in words is "seventy-eight trillion, one hundred ninety-nine billion, four hundred thirteen million, six hundred ninety-two thousand, four hundred".