45763800 has 96 divisors (see below), whose sum is σ = 143629200. Its totient is φ = 12052480.

The previous prime is 45763777. The next prime is 45763801. The reversal of 45763800 is 836754.

45763800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45763801) 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 23 ways as a sum of consecutive naturals, for example, 52972 + ... + 53828.

Almost surely, 2^45763800 is an apocalyptic number.

45763800 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 45763800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71814600).

45763800 is an abundant number, since it is smaller than the sum of its proper divisors (97865400).

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

45763800 is a wasteful number, since it uses less digits than its factorization.

45763800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45763800 is about 6764.8946776724. The cubic root of 45763800 is about 357.6904620270.

The spelling of 45763800 in words is "forty-five million, seven hundred sixty-three thousand, eight hundred".