46779760 has 40 divisors (see below), whose sum is σ = 109207296. Its totient is φ = 18635520.

The previous prime is 46779751. The next prime is 46779773. The reversal of 46779760 is 6797764.

46779760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 46779760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21105 + ... + 23215.

Almost surely, 2^46779760 is an apocalyptic number.

46779760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46779760 is an abundant number, since it is smaller than the sum of its proper divisors (62427536).

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

46779760 is a wasteful number, since it uses less digits than its factorization.

46779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 46779760 is about 6839.5730860924. The cubic root of 46779760 is about 360.3180317184.

The spelling of 46779760 in words is "forty-six million, seven hundred seventy-nine thousand, seven hundred sixty".