78919142400 has 660 divisors, whose sum is σ = 334036632688. Its totient is φ = 18035343360.

The previous prime is 78919142363. The next prime is 78919142447. The reversal of 78919142400 is 424191987.

It is a happy number.

78919142400 is a `hidden beast` number, since 78 + 91 + 91 + 4 + 2 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14512482 + ... + 14517918.

Almost surely, 2^78919142400 is an apocalyptic number.

78919142400 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 78919142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167018316344).

78919142400 is an abundant number, since it is smaller than the sum of its proper divisors (255117490288).

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

78919142400 is a wasteful number, since it uses less digits than its factorization.

78919142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 78919142400 in words is "seventy-eight billion, nine hundred nineteen million, one hundred forty-two thousand, four hundred".