45807768 has 80 divisors (see below), whose sum is σ = 129286080. Its totient is φ = 15152832.

The previous prime is 45807763. The next prime is 45807787. The reversal of 45807768 is 86770854.

45807768 is a `hidden beast` number, since 4 + 580 + 7 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45807761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144346 + ... + 144662.

It is an arithmetic number, because the mean of its divisors is an integer number (1616076).

Almost surely, 2^45807768 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 45807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64643040).

45807768 is an abundant number, since it is smaller than the sum of its proper divisors (83478312).

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

45807768 is a wasteful number, since it uses less digits than its factorization.

45807768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 45807768 is about 6768.1436154975. The cubic root of 45807768 is about 357.8049768496.

The spelling of 45807768 in words is "forty-five million, eight hundred seven thousand, seven hundred sixty-eight".