40782000 has 160 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 9312000.

The previous prime is 40781989. The next prime is 40782011. The reversal of 40782000 is 28704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40781989) and next prime (40782011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41515 + ... + 42485.

Almost surely, 2^40782000 is an apocalyptic number.

40782000 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 40782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

40782000 is an abundant number, since it is smaller than the sum of its proper divisors (109636944).

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

40782000 is a wasteful number, since it uses less digits than its factorization.

40782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40782000 is about 6386.0786089744. The cubic root of 40782000 is about 344.2094902095.

The spelling of 40782000 in words is "forty million, seven hundred eighty-two thousand".