98776800 has 288 divisors, whose sum is σ = 379663200. Its totient is φ = 24698880.

The previous prime is 98776793. The next prime is 98776823. The reversal of 98776800 is 867789.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367066 + ... + 367334.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^98776800 is an apocalyptic number.

98776800 is a gapful number since it is divisible by the number (90) 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 98776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189831600).

98776800 is an abundant number, since it is smaller than the sum of its proper divisors (280886400).

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

98776800 is a wasteful number, since it uses less digits than its factorization.

98776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 98776800 is about 9938.6518200408. The cubic root of 98776800 is about 462.2585835273.

The spelling of 98776800 in words is "ninety-eight million, seven hundred seventy-six thousand, eight hundred".