945772800 has 432 divisors, whose sum is σ = 3698429952. Its totient is φ = 208281600.

The previous prime is 945772777. The next prime is 945772801. The reversal of 945772800 is 8277549.

It is a super-3 number, since 3×945772800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945772801) 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 47 ways as a sum of consecutive naturals, for example, 4166287 + ... + 4166513.

Almost surely, 2^945772800 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 945772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849214976).

945772800 is an abundant number, since it is smaller than the sum of its proper divisors (2752657152).

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

945772800 is a wasteful number, since it uses less digits than its factorization.

945772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 945772800 is about 30753.4193220851. The cubic root of 945772800 is about 981.5873207048.

The spelling of 945772800 in words is "nine hundred forty-five million, seven hundred seventy-two thousand, eight hundred".