45776720 has 60 divisors (see below), whose sum is σ = 117010740. Its totient is φ = 16642560.

The previous prime is 45776669. The next prime is 45776723. The reversal of 45776720 is 2767754.

It can be written as a sum of positive squares in 2 ways, for example, as 6739216 + 39037504 = 2596^2 + 6248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45776723) 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, 7316 + ... + 12044.

It is an arithmetic number, because the mean of its divisors is an integer number (1950179).

Almost surely, 2^45776720 is an apocalyptic number.

45776720 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 45776720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58505370).

45776720 is an abundant number, since it is smaller than the sum of its proper divisors (71234020).

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

45776720 is a wasteful number, since it uses less digits than its factorization.

45776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 45776720 is about 6765.8495401538. The cubic root of 45776720 is about 357.7241198230.

It can be divided in two parts, 457 and 76720, that added together give a palindrome (77177).

The spelling of 45776720 in words is "forty-five million, seven hundred seventy-six thousand, seven hundred twenty".