40078080 has 324 divisors, whose sum is σ = 163577232. Its totient is φ = 9031680.

The previous prime is 40078079. The next prime is 40078081. The reversal of 40078080 is 8087004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40078079) and next prime (40078081).

It is not an unprimeable number, because it can be changed into a prime (40078081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564445 + ... + 564515.

It is an arithmetic number, because the mean of its divisors is an integer number (504868).

Almost surely, 2^40078080 is an apocalyptic number.

40078080 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 40078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81788616).

40078080 is an abundant number, since it is smaller than the sum of its proper divisors (123499152).

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

40078080 is a wasteful number, since it uses less digits than its factorization.

40078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 40078080 is about 6330.7250769560. The cubic root of 40078080 is about 342.2175695725.

The spelling of 40078080 in words is "forty million, seventy-eight thousand, eighty".