40576800 has 288 divisors, whose sum is σ = 151865280. Its totient is φ = 9318400.

The previous prime is 40576793. The next prime is 40576801. The reversal of 40576800 is 867504.

It is a happy number.

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 (40576801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765574 + ... + 765626.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^40576800 is an apocalyptic number.

40576800 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 40576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

40576800 is an abundant number, since it is smaller than the sum of its proper divisors (111288480).

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

40576800 is a wasteful number, since it uses less digits than its factorization.

40576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 40576800 is about 6369.9921507016. The cubic root of 40576800 is about 343.6312074374.

The spelling of 40576800 in words is "forty million, five hundred seventy-six thousand, eight hundred".