40766880 has 192 divisors, whose sum is σ = 160247808. Its totient is φ = 8463360.

The previous prime is 40766839. The next prime is 40766917. The reversal of 40766880 is 8866704.

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, 36409 + ... + 37511.

It is an arithmetic number, because the mean of its divisors is an integer number (834624).

Almost surely, 2^40766880 is an apocalyptic number.

40766880 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 40766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80123904).

40766880 is an abundant number, since it is smaller than the sum of its proper divisors (119480928).

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

40766880 is a wasteful number, since it uses less digits than its factorization.

40766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 40766880 is about 6384.8946741509. The cubic root of 40766880 is about 344.1669461884.

The spelling of 40766880 in words is "forty million, seven hundred sixty-six thousand, eight hundred eighty".