4780800 has 162 divisors, whose sum is σ = 17298372. Its totient is φ = 1259520.

The previous prime is 4780781. The next prime is 4780819. The reversal of 4780800 is 80874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4780781) and next prime (4780819).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57559 + ... + 57641.

Almost surely, 2^4780800 is an apocalyptic number.

4780800 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 4780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649186).

4780800 is an abundant number, since it is smaller than the sum of its proper divisors (12517572).

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

4780800 is a wasteful number, since it uses less digits than its factorization.

4780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4780800 is about 2186.5040589946. The cubic root of 4780800 is about 168.4613171276.

The spelling of 4780800 in words is "four million, seven hundred eighty thousand, eight hundred".