78989424998400 has 1440 divisors, whose sum is σ = 341183983140000. Its totient is φ = 18054400573440.

The previous prime is 78989424998381. The next prime is 78989424998411. The reversal of 78989424998400 is 489942498987.

It is a happy number.

78989424998400 is a `hidden beast` number, since 7 + 8 + 9 + 8 + 9 + 42 + 499 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×78989424998400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 78989424998400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1422461836 + ... + 1422517364.

It is an arithmetic number, because the mean of its divisors is an integer number (236933321625).

Almost surely, 2^{78989424998400} is an apocalyptic number.

78989424998400 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 78989424998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170591991570000).

78989424998400 is an abundant number, since it is smaller than the sum of its proper divisors (262194558141600).

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

78989424998400 is an equidigital number, since it uses as much as digits as its factorization.

78989424998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55594 (or 55546 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 78989424998400 in words is "seventy-eight trillion, nine hundred eighty-nine billion, four hundred twenty-four million, nine hundred ninety-eight thousand, four hundred".