516796800 has 384 divisors, whose sum is σ = 1896441120. Its totient is φ = 122880000.

The previous prime is 516796783. The next prime is 516796817. The reversal of 516796800 is 8697615.

It is an interprime number because it is at equal distance from previous prime (516796783) and next prime (516796817).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116750 + ... + 5116850.

Almost surely, 2^516796800 is an apocalyptic number.

516796800 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 516796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948220560).

516796800 is an abundant number, since it is smaller than the sum of its proper divisors (1379644320).

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

516796800 is a wasteful number, since it uses less digits than its factorization.

516796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 516796800 is about 22733.1651997693. The cubic root of 516796800 is about 802.4905716034.

The spelling of 516796800 in words is "five hundred sixteen million, seven hundred ninety-six thousand, eight hundred".