90820800 has 504 divisors, whose sum is σ = 397983456. Its totient is φ = 19169280.

The previous prime is 90820799. The next prime is 90820801. The reversal of 90820800 is 802809.

It is an interprime number because it is at equal distance from previous prime (90820799) and next prime (90820801).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (90820801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713574 + ... + 1713626.

Almost surely, 2^90820800 is an apocalyptic number.

90820800 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 90820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198991728).

90820800 is an abundant number, since it is smaller than the sum of its proper divisors (307162656).

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

90820800 is a wasteful number, since it uses less digits than its factorization.

90820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90820800 is about 9529.9947534088. The cubic root of 90820800 is about 449.4987010207.

The spelling of 90820800 in words is "ninety million, eight hundred twenty thousand, eight hundred".