5077400 has 48 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1988480.

The previous prime is 5077393. The next prime is 5077417. The reversal of 5077400 is 47705.

5077400 = T₂₅₅ + T₂₅₆ + ... + T₃₆₀.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10361 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 2^5077400 is an apocalyptic number.

5077400 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 5077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

5077400 is an abundant number, since it is smaller than the sum of its proper divisors (6975400).

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

5077400 is a wasteful number, since it uses less digits than its factorization.

5077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 5077400 is about 2253.3086783661. The cubic root of 5077400 is about 171.8754280981.

The spelling of 5077400 in words is "five million, seventy-seven thousand, four hundred".