99782280 has 320 divisors, whose sum is σ = 380540160. Its totient is φ = 23265792.

The previous prime is 99782239. The next prime is 99782311. The reversal of 99782280 is 8228799.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 968709 + ... + 968811.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^99782280 is an apocalyptic number.

99782280 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 99782280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

99782280 is an abundant number, since it is smaller than the sum of its proper divisors (280757880).

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

99782280 is a wasteful number, since it uses less digits than its factorization.

99782280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

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

The square root of 99782280 is about 9989.1080682912. The cubic root of 99782280 is about 463.8217830242.

The spelling of 99782280 in words is "ninety-nine million, seven hundred eighty-two thousand, two hundred eighty".