920180800 has 378 divisors, whose sum is σ = 2924946906. Its totient is φ = 283852800.

The previous prime is 920180783. The next prime is 920180813. The reversal of 920180800 is 8081029.

It can be written as a sum of positive squares in 3 ways, for example, as 45914176 + 874266624 = 6776^2 + 29568^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 53 ways as a sum of consecutive naturals, for example, 9486352 + ... + 9486448.

Almost surely, 2^920180800 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 920180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462473453).

920180800 is an abundant number, since it is smaller than the sum of its proper divisors (2004766106).

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

920180800 is a wasteful number, since it uses less digits than its factorization.

920180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 920180800 is about 30334.4820295320. The cubic root of 920180800 is about 972.6525336616.

The spelling of 920180800 in words is "nine hundred twenty million, one hundred eighty thousand, eight hundred".