45772800 has 156 divisors (see below), whose sum is σ = 152352600. Its totient is φ = 12124160.

The previous prime is 45772799. The next prime is 45772801. The reversal of 45772800 is 827754.

It is an interprime number because it is at equal distance from previous prime (45772799) and next prime (45772801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45772801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307126 + ... + 307274.

Almost surely, 2^45772800 is an apocalyptic number.

45772800 is a gapful number since it is divisible by the number (40) 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 45772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76176300).

45772800 is an abundant number, since it is smaller than the sum of its proper divisors (106579800).

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

45772800 is a wasteful number, since it uses less digits than its factorization.

45772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 45772800 is about 6765.5598437971. The cubic root of 45772800 is about 357.7139085295.

The spelling of 45772800 in words is "forty-five million, seven hundred seventy-two thousand, eight hundred".