40783680 has 378 divisors, whose sum is σ = 173345094. Its totient is φ = 8773632.

The previous prime is 40783679. The next prime is 40783703. The reversal of 40783680 is 8638704.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 27123264 = 3696^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2399032 + ... + 2399048.

Almost surely, 2^40783680 is an apocalyptic number.

40783680 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 40783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86672547).

40783680 is an abundant number, since it is smaller than the sum of its proper divisors (132561414).

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

40783680 is a wasteful number, since it uses less digits than its factorization.

40783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40783680 is about 6386.2101437394. The cubic root of 40783680 is about 344.2142166738.

The spelling of 40783680 in words is "forty million, seven hundred eighty-three thousand, six hundred eighty".