45777920 has 44 divisors (see below), whose sum is σ = 109825644. Its totient is φ = 18309120.

The previous prime is 45777911. The next prime is 45777931. The reversal of 45777920 is 2977754.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 22429696 = 4832^2 + 4736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 650 + ... + 9590.

Almost surely, 2^45777920 is an apocalyptic number.

45777920 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 45777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54912822).

45777920 is an abundant number, since it is smaller than the sum of its proper divisors (64047724).

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

45777920 is an equidigital number, since it uses as much as digits as its factorization.

45777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 45777920 is about 6765.9382202323. The cubic root of 45777920 is about 357.7272456127.

The spelling of 45777920 in words is "forty-five million, seven hundred seventy-seven thousand, nine hundred twenty".