4930780800 has 384 divisors, whose sum is σ = 18071968320. Its totient is φ = 1171456000.

The previous prime is 4930780787. The next prime is 4930780819. The reversal of 4930780800 is 80870394.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596360 + ... + 5597240.

Almost surely, 2^4930780800 is an apocalyptic number.

4930780800 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 4930780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035984160).

4930780800 is an abundant number, since it is smaller than the sum of its proper divisors (13141187520).

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

4930780800 is a wasteful number, since it uses less digits than its factorization.

4930780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4930780800 is about 70219.5186540039. The cubic root of 4930780800 is about 1702.0483728565.

The spelling of 4930780800 in words is "four billion, nine hundred thirty million, seven hundred eighty thousand, eight hundred".