78998400 has 288 divisors, whose sum is σ = 305006520. Its totient is φ = 19353600.

The previous prime is 78998393. The next prime is 78998401. The reversal of 78998400 is 489987.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78998401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374295 + ... + 374505.

Almost surely, 2^78998400 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 78998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152503260).

78998400 is an abundant number, since it is smaller than the sum of its proper divisors (226008120).

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

78998400 is a wasteful number, since it uses less digits than its factorization.

78998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

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

The square root of 78998400 is about 8888.1044098278. The cubic root of 78998400 is about 429.0811459132.

The spelling of 78998400 in words is "seventy-eight million, nine hundred ninety-eight thousand, four hundred".