5207702400 has 576 divisors, whose sum is σ = 20257036800. Its totient is φ = 1269043200.

The previous prime is 5207702393. The next prime is 5207702411. The reversal of 5207702400 is 42077025.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 16963047 + ... + 16963353.

Almost surely, 2^5207702400 is an apocalyptic number.

5207702400 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 5207702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128518400).

5207702400 is an abundant number, since it is smaller than the sum of its proper divisors (15049334400).

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

5207702400 is a wasteful number, since it uses less digits than its factorization.

5207702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5207702400 is about 72164.4122819552. The cubic root of 5207702400 is about 1733.3331886916. Note that the first 3 decimals are identical.

Adding to 5207702400 its reverse (42077025), we get a palindrome (5249779425).

The spelling of 5207702400 in words is "five billion, two hundred seven million, seven hundred two thousand, four hundred".