47777680 has 20 divisors (see below), whose sum is σ = 111083292. Its totient is φ = 19111040.

The previous prime is 47777677. The next prime is 47777689. The reversal of 47777680 is 8677774.

It can be written as a sum of positive squares in 2 ways, for example, as 16908544 + 30869136 = 4112^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 47777680.

It is not an unprimeable number, because it can be changed into a prime (47777689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 298531 + ... + 298690.

Almost surely, 2^47777680 is an apocalyptic number.

47777680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47777680 is an abundant number, since it is smaller than the sum of its proper divisors (63305612).

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

47777680 is a wasteful number, since it uses less digits than its factorization.

47777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597234 (or 597228 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 47777680 is about 6912.1400448776. The cubic root of 47777680 is about 362.8621636168.

The spelling of 47777680 in words is "forty-seven million, seven hundred seventy-seven thousand, six hundred eighty".