920780800 has 108 divisors (see below), whose sum is σ = 2291654106. Its totient is φ = 367001600.

The previous prime is 920780797. The next prime is 920780803. The reversal of 920780800 is 8087029.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (920780797) and next prime (920780803).

It can be written as a sum of positive squares in 3 ways, for example, as 750321664 + 170459136 = 27392^2 + 13056^2 .

It is not an unprimeable number, because it can be changed into a prime (920780803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3276660 + ... + 3276940.

Almost surely, 2^920780800 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 920780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145827053).

920780800 is an abundant number, since it is smaller than the sum of its proper divisors (1370873306).

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

920780800 is an frugal number, since it uses more digits than its factorization.

920780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 920780800 is about 30344.3701532920. The cubic root of 920780800 is about 972.8638923871.

The spelling of 920780800 in words is "nine hundred twenty million, seven hundred eighty thousand, eight hundred".