4777920 has 224 divisors, whose sum is σ = 19507200. Its totient is φ = 1078272.

The previous prime is 4777909. The next prime is 4777933. The reversal of 4777920 is 297774.

4777920 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60441 + ... + 60519.

Almost surely, 2^4777920 is an apocalyptic number.

4777920 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 4777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

4777920 is an abundant number, since it is smaller than the sum of its proper divisors (14729280).

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

4777920 is a wasteful number, since it uses less digits than its factorization.

4777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 4777920 is about 2185.8453742202. The cubic root of 4777920 is about 168.4274827589.

It can be divided in two parts, 4 and 777920, that added together give a square (777924 = 882²).

The spelling of 4777920 in words is "four million, seven hundred seventy-seven thousand, nine hundred twenty".