90378800 has 60 divisors (see below), whose sum is σ = 229925016. Its totient is φ = 34022400.

The previous prime is 90378797. The next prime is 90378803. The reversal of 90378800 is 887309.

It is an interprime number because it is at equal distance from previous prime (90378797) and next prime (90378803).

It is not an unprimeable number, because it can be changed into a prime (90378803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155 + ... + 13445.

Almost surely, 2^90378800 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 90378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114962508).

90378800 is an abundant number, since it is smaller than the sum of its proper divisors (139546216).

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

90378800 is a wasteful number, since it uses less digits than its factorization.

90378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 90378800 is about 9506.7765304545. The cubic root of 90378800 is about 448.7683191235.

The spelling of 90378800 in words is "ninety million, three hundred seventy-eight thousand, eight hundred".