512977080 has 384 divisors, whose sum is σ = 1991808000. Its totient is φ = 105557760.

The previous prime is 512977039. The next prime is 512977103. The reversal of 512977080 is 80779215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4980309 + ... + 4980411.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2^512977080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512977080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904000).

512977080 is an abundant number, since it is smaller than the sum of its proper divisors (1478830920).

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

512977080 is a wasteful number, since it uses less digits than its factorization.

512977080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 512977080 is about 22648.9973288002. The cubic root of 512977080 is about 800.5085724574.

The spelling of 512977080 in words is "five hundred twelve million, nine hundred seventy-seven thousand, eighty".