4877977200 has 120 divisors (see below), whose sum is σ = 15716778288. Its totient is φ = 1293219840.

The previous prime is 4877977183. The next prime is 4877977207. The reversal of 4877977200 is 27797784.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4877977207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195852 + ... + 219348.

Almost surely, 2^4877977200 is an apocalyptic number.

4877977200 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 4877977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858389144).

4877977200 is an abundant number, since it is smaller than the sum of its proper divisors (10838801088).

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

4877977200 is a wasteful number, since it uses less digits than its factorization.

4877977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691 (or 23680 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The square root of 4877977200 is about 69842.5171367699. The cubic root of 4877977200 is about 1695.9508244167.

The spelling of 4877977200 in words is "four billion, eight hundred seventy-seven million, nine hundred seventy-seven thousand, two hundred".