4787920 has 40 divisors (see below), whose sum is σ = 11264904. Its totient is φ = 1892352.

The previous prime is 4787903. The next prime is 4787941. The reversal of 4787920 is 297874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 4787344 = 24^2 + 2188^2 .

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

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4787920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7452 + ... + 8068.

Almost surely, 2^4787920 is an apocalyptic number.

4787920 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 4787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632452).

4787920 is an abundant number, since it is smaller than the sum of its proper divisors (6476984).

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

4787920 is a wasteful number, since it uses less digits than its factorization.

4787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 4787920 is about 2188.1316230977. The cubic root of 4787920 is about 168.5449049253.

The spelling of 4787920 in words is "four million, seven hundred eighty-seven thousand, nine hundred twenty".