40780320 has 192 divisors, whose sum is σ = 150232320. Its totient is φ = 9105408.

The previous prime is 40780309. The next prime is 40780343. The reversal of 40780320 is 2308704.

40780320 = T₁₅₀₉ + T₁₅₁₀ + ... + T₁₅₄₃.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177966 + ... + 178194.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^40780320 is an apocalyptic number.

40780320 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 40780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

40780320 is an abundant number, since it is smaller than the sum of its proper divisors (109452000).

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

40780320 is a wasteful number, since it uses less digits than its factorization.

40780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40780320 is about 6385.9470715000. The cubic root of 40780320 is about 344.2047636154.

The spelling of 40780320 in words is "forty million, seven hundred eighty thousand, three hundred twenty".