45775120 has 40 divisors (see below), whose sum is σ = 107939520. Its totient is φ = 18049920.

The previous prime is 45775111. The next prime is 45775151. The reversal of 45775120 is 2157754.

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

It is a super-2 number, since 2×45775120² = 4190723222028800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^45775120 is an apocalyptic number.

45775120 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 45775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

45775120 is an abundant number, since it is smaller than the sum of its proper divisors (62164400).

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

45775120 is a wasteful number, since it uses less digits than its factorization.

45775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 45775120 is about 6765.7312982412. The cubic root of 45775120 is about 357.7199520185.

The spelling of 45775120 in words is "forty-five million, seven hundred seventy-five thousand, one hundred twenty".