40782720 has 128 divisors (see below), whose sum is σ = 141886080. Its totient is φ = 9881600.

The previous prime is 40782719. The next prime is 40782727. The reversal of 40782720 is 2728704.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40782727) 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 15 ways as a sum of consecutive naturals, for example, 20155 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (1108485).

Almost surely, 2^40782720 is an apocalyptic number.

40782720 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 40782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70943040).

40782720 is an abundant number, since it is smaller than the sum of its proper divisors (101103360).

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

40782720 is a wasteful number, since it uses less digits than its factorization.

40782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40782720 is about 6386.1349813483. The cubic root of 40782720 is about 344.2115158530.

The spelling of 40782720 in words is "forty million, seven hundred eighty-two thousand, seven hundred twenty".