40797600 has 144 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 10700800.

The previous prime is 40797553. The next prime is 40797619. The reversal of 40797600 is 679704.

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 23 ways as a sum of consecutive naturals, for example, 213505 + ... + 213695.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^40797600 is an apocalyptic number.

40797600 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 40797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

40797600 is an abundant number, since it is smaller than the sum of its proper divisors (94193760).

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

40797600 is a wasteful number, since it uses less digits than its factorization.

40797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 40797600 is about 6387.2998990184. The cubic root of 40797600 is about 344.2533738144.

The spelling of 40797600 in words is "forty million, seven hundred ninety-seven thousand, six hundred".