4767880 has 64 divisors (see below), whose sum is σ = 11838960. Its totient is φ = 1717248.

The previous prime is 4767853. The next prime is 4767899. The reversal of 4767880 is 887674.

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 1965604 = 1674^2 + 1402^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27474 + ... + 27646.

Almost surely, 2^4767880 is an apocalyptic number.

4767880 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 4767880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919480).

4767880 is an abundant number, since it is smaller than the sum of its proper divisors (7071080).

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

4767880 is a wasteful number, since it uses less digits than its factorization.

4767880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 4767880 is about 2183.5475721861. The cubic root of 4767880 is about 168.3094259635.

The spelling of 4767880 in words is "four million, seven hundred sixty-seven thousand, eight hundred eighty".