4762880 has 54 divisors (see below), whose sum is σ = 11598678. Its totient is φ = 1873920.

The previous prime is 4762867. The next prime is 4762889. The reversal of 4762880 is 882674.

It can be written as a sum of positive squares in 3 ways, for example, as 369664 + 4393216 = 608^2 + 2096^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4762880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78050 + ... + 78110.

Almost surely, 2^4762880 is an apocalyptic number.

4762880 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 4762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799339).

4762880 is an abundant number, since it is smaller than the sum of its proper divisors (6835798).

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

4762880 is an frugal number, since it uses more digits than its factorization.

4762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4762880 is about 2182.4023460398. The cubic root of 4762880 is about 168.2505709117.

The spelling of 4762880 in words is "four million, seven hundred sixty-two thousand, eight hundred eighty".