45765120 has 160 divisors (see below), whose sum is σ = 150258240. Its totient is φ = 11878400.

The previous prime is 45765119. The next prime is 45765127. The reversal of 45765120 is 2156754.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45765120² = 4188892417228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45765127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453070 + ... + 453170.

It is an arithmetic number, because the mean of its divisors is an integer number (939114).

Almost surely, 2^45765120 is an apocalyptic number.

45765120 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 45765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129120).

45765120 is an abundant number, since it is smaller than the sum of its proper divisors (104493120).

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

45765120 is a wasteful number, since it uses less digits than its factorization.

45765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 45765120 is about 6764.9922394634. The cubic root of 45765120 is about 357.6939010397.

The spelling of 45765120 in words is "forty-five million, seven hundred sixty-five thousand, one hundred twenty".