40782480 has 80 divisors (see below), whose sum is σ = 127116864. Its totient is φ = 10816000.

The previous prime is 40782451. The next prime is 40782481. The reversal of 40782480 is 8428704.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40782481) 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, 59902 + ... + 60578.

Almost surely, 2^40782480 is an apocalyptic number.

40782480 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 40782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63558432).

40782480 is an abundant number, since it is smaller than the sum of its proper divisors (86334384).

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

40782480 is a wasteful number, since it uses less digits than its factorization.

40782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 40782480 is about 6386.1161906123. The cubic root of 40782480 is about 344.2108406411.

The spelling of 40782480 in words is "forty million, seven hundred eighty-two thousand, four hundred eighty".