4776880 has 60 divisors (see below), whose sum is σ = 11664432. Its totient is φ = 1818880.

The previous prime is 4776857. The next prime is 4776887. The reversal of 4776880 is 886774.

4776880 = 87² + 88² + ... + 246².

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

It is not an unprimeable number, because it can be changed into a prime (4776887) 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, 67245 + ... + 67315.

Almost surely, 2^4776880 is an apocalyptic number.

4776880 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 4776880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832216).

4776880 is an abundant number, since it is smaller than the sum of its proper divisors (6887552).

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

4776880 is a wasteful number, since it uses less digits than its factorization.

4776880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

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

The square root of 4776880 is about 2185.6074670443. The cubic root of 4776880 is about 168.4152614511.

The spelling of 4776880 in words is "four million, seven hundred seventy-six thousand, eight hundred eighty".