40779920 has 80 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 15155712.

The previous prime is 40779899. The next prime is 40779929. The reversal of 40779920 is 2997704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40779929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67781 + ... + 68379.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^40779920 is an apocalyptic number.

40779920 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 40779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

40779920 is an abundant number, since it is smaller than the sum of its proper divisors (60999280).

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

40779920 is a wasteful number, since it uses less digits than its factorization.

40779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 40779920 is about 6385.9157526544. The cubic root of 40779920 is about 344.2036382167.

The spelling of 40779920 in words is "forty million, seven hundred seventy-nine thousand, nine hundred twenty".