913780800 has 504 divisors, whose sum is σ = 3537630720. Its totient is φ = 223027200.

The previous prime is 913780789. The next prime is 913780801. The reversal of 913780800 is 8087319.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (913780801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10267156 + ... + 10267244.

Almost surely, 2^913780800 is an apocalyptic number.

913780800 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 913780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768815360).

913780800 is an abundant number, since it is smaller than the sum of its proper divisors (2623849920).

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

913780800 is a wasteful number, since it uses less digits than its factorization.

913780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 913780800 is about 30228.8074524947. The cubic root of 913780800 is about 970.3923024364.

The spelling of 913780800 in words is "nine hundred thirteen million, seven hundred eighty thousand, eight hundred".