5077800 has 288 divisors, whose sum is σ = 21665280. Its totient is φ = 1036800.

The previous prime is 5077789. The next prime is 5077811. The reversal of 5077800 is 87705.

5077800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5077789) and next prime (5077811).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163785 + ... + 163815.

Almost surely, 2^5077800 is an apocalyptic number.

5077800 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 5077800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

5077800 is an abundant number, since it is smaller than the sum of its proper divisors (16587480).

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

5077800 is a wasteful number, since it uses less digits than its factorization.

5077800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 61 counting only the distinct ones).

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

The square root of 5077800 is about 2253.3974349857. The cubic root of 5077800 is about 171.8799414557.

The spelling of 5077800 in words is "five million, seventy-seven thousand, eight hundred".