98778400 has 144 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 32716800.

The previous prime is 98778343. The next prime is 98778401. The reversal of 98778400 is 487789.

It is not an unprimeable number, because it can be changed into a prime (98778401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173316 + ... + 173884.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^98778400 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 98778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

98778400 is an abundant number, since it is smaller than the sum of its proper divisors (186203360).

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

98778400 is a wasteful number, since it uses less digits than its factorization.

98778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 98778400 is about 9938.7323135297. The cubic root of 98778400 is about 462.2610794229.

The spelling of 98778400 in words is "ninety-eight million, seven hundred seventy-eight thousand, four hundred".