980764800 has 288 divisors, whose sum is σ = 3421410480. Its totient is φ = 246896640.

The previous prime is 980764793. The next prime is 980764801. The reversal of 980764800 is 8467089.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (980764801) 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, 3465459 + ... + 3465741.

Almost surely, 2^980764800 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 980764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710705240).

980764800 is an abundant number, since it is smaller than the sum of its proper divisors (2440645680).

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

980764800 is a wasteful number, since it uses less digits than its factorization.

980764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 980764800 is about 31317.1646226155. The cubic root of 980764800 is about 993.5467113141.

The spelling of 980764800 in words is "nine hundred eighty million, seven hundred sixty-four thousand, eight hundred".