45776840 has 64 divisors (see below), whose sum is σ = 106533360. Its totient is φ = 17694720.

The previous prime is 45776803. The next prime is 45776851. The reversal of 45776840 is 4867754.

It can be written as a sum of positive squares in 8 ways, for example, as 22486564 + 23290276 = 4742^2 + 4826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177992 + ... + 178248.

Almost surely, 2^45776840 is an apocalyptic number.

45776840 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 45776840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53266680).

45776840 is an abundant number, since it is smaller than the sum of its proper divisors (60756520).

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

45776840 is a wasteful number, since it uses less digits than its factorization.

45776840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 45776840 is about 6765.8584082140. The cubic root of 45776840 is about 357.7244324044.

The spelling of 45776840 in words is "forty-five million, seven hundred seventy-six thousand, eight hundred forty".