4762080 has 72 divisors (see below), whose sum is σ = 16255512. Its totient is φ = 1269504.

The previous prime is 4762073. The next prime is 4762099. The reversal of 4762080 is 802674.

4762080 is digitally balanced in base 5, 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (225771).

Almost surely, 2^4762080 is an apocalyptic number.

4762080 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 4762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127756).

4762080 is an abundant number, since it is smaller than the sum of its proper divisors (11493432).

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

4762080 is a wasteful number, since it uses less digits than its factorization.

4762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4762080 is about 2182.2190540823. The cubic root of 4762080 is about 168.2411502815.

It can be divided in two parts, 476 and 2080, that added together give a triangular number (2556 = T₇₁).

The spelling of 4762080 in words is "four million, seven hundred sixty-two thousand, eighty".