40787320 has 128 divisors (see below), whose sum is σ = 112066560. Its totient is φ = 13063680.

The previous prime is 40787309. The next prime is 40787323. The reversal of 40787320 is 2378704.

40787320 = 32² + 33² + ... + 496².

40787320 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40787323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321097 + ... + 321223.

It is an arithmetic number, because the mean of its divisors is an integer number (875520).

Almost surely, 2^40787320 is an apocalyptic number.

40787320 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 40787320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56033280).

40787320 is an abundant number, since it is smaller than the sum of its proper divisors (71279240).

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

40787320 is a wasteful number, since it uses less digits than its factorization.

40787320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 40787320 is about 6386.4951264367. The cubic root of 40787320 is about 344.2244569013.

The spelling of 40787320 in words is "forty million, seven hundred eighty-seven thousand, three hundred twenty".