512078760 has 224 divisors, whose sum is σ = 1830862440. Its totient is φ = 128397312.

The previous prime is 512078753. The next prime is 512078761. The reversal of 512078760 is 67870215.

512078760 is a `hidden beast` number, since 512 + 0 + 7 + 87 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511935876 + 142884 = 22626^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (512078761) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495204 + ... + 496236.

Almost surely, 2^512078760 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 512078760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915431220).

512078760 is an abundant number, since it is smaller than the sum of its proper divisors (1318783680).

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

512078760 is a wasteful number, since it uses less digits than its factorization.

512078760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 512078760 is about 22629.1572976105. The cubic root of 512078760 is about 800.0410187301.

The spelling of 512078760 in words is "five hundred twelve million, seventy-eight thousand, seven hundred sixty".