90370800 has 180 divisors, whose sum is σ = 337910664. Its totient is φ = 22233600.

The previous prime is 90370799. The next prime is 90370807. The reversal of 90370800 is 807309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90370807) 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, 45835 + ... + 47765.

Almost surely, 2^90370800 is an apocalyptic number.

90370800 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 90370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168955332).

90370800 is an abundant number, since it is smaller than the sum of its proper divisors (247539864).

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

90370800 is a wasteful number, since it uses less digits than its factorization.

90370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90370800 is about 9506.3557686424. The cubic root of 90370800 is about 448.7550776240.

The spelling of 90370800 in words is "ninety million, three hundred seventy thousand, eight hundred".