5077800000 has 1008 divisors, whose sum is σ = 23112520704. Its totient is φ = 1036800000.

The previous prime is 5077799983. The next prime is 5077800019. The reversal of 5077800000 is 87705.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163799985 + ... + 163800015.

It is an arithmetic number, because the mean of its divisors is an integer number (22929088).

Almost surely, 2^5077800000 is an apocalyptic number.

5077800000 is a gapful number since it is divisible by the number (50) 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 5077800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556260352).

5077800000 is an abundant number, since it is smaller than the sum of its proper divisors (18034720704).

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

5077800000 is a wasteful number, since it uses less digits than its factorization.

5077800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5077800000 is about 71258.6836813591. The cubic root of 5077800000 is about 1718.7994145573.

Adding to 5077800000 its reverse (87705), we get a palindrome (5077887705).

The spelling of 5077800000 in words is "five billion, seventy-seven million, eight hundred thousand".