45760720 has 40 divisors (see below), whose sum is σ = 107508744. Its totient is φ = 18112512.

The previous prime is 45760699. The next prime is 45760723. The reversal of 45760720 is 2706754.

It can be written as a sum of positive squares in 4 ways, for example, as 12306064 + 33454656 = 3508^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45760723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4812 + ... + 10708.

Almost surely, 2^45760720 is an apocalyptic number.

45760720 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 45760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53754372).

45760720 is an abundant number, since it is smaller than the sum of its proper divisors (61748024).

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

45760720 is a wasteful number, since it uses less digits than its factorization.

45760720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 45760720 is about 6764.6670280214. The cubic root of 45760720 is about 357.6824374068.

The spelling of 45760720 in words is "forty-five million, seven hundred sixty thousand, seven hundred twenty".