4786800 has 60 divisors (see below), whose sum is σ = 15337560. Its totient is φ = 1276160.

The previous prime is 4786799. The next prime is 4786807. The reversal of 4786800 is 86874.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4786807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^4786800 is an apocalyptic number.

4786800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4786800 is an abundant number, since it is smaller than the sum of its proper divisors (10550760).

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

4786800 is a wasteful number, since it uses less digits than its factorization.

4786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4786800 is about 2187.8756820258. The cubic root of 4786800 is about 168.5317617779.

The spelling of 4786800 in words is "four million, seven hundred eighty-six thousand, eight hundred".