47769120 has 216 divisors, whose sum is σ = 189906444. Its totient is φ = 10902528.

The previous prime is 47769107. The next prime is 47769131. The reversal of 47769120 is 2196774.

It is a happy number.

47769120 is a `hidden beast` number, since 477 + 69 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 3732624 = 6636^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 70222 + ... + 70898.

Almost surely, 2^47769120 is an apocalyptic number.

47769120 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 47769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953222).

47769120 is an abundant number, since it is smaller than the sum of its proper divisors (142137324).

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

47769120 is a wasteful number, since it uses less digits than its factorization.

47769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 47769120 is about 6911.5208167233. The cubic root of 47769120 is about 362.8404918121.

The spelling of 47769120 in words is "forty-seven million, seven hundred sixty-nine thousand, one hundred twenty".