507768768 has 336 divisors, whose sum is σ = 1708586880. Its totient is φ = 142829568.

The previous prime is 507768739. The next prime is 507768823. The reversal of 507768768 is 867867705.

507768768 is a `hidden beast` number, since 507 + 7 + 68 + 76 + 8 = 666.

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, 6117655 + ... + 6117737.

It is an arithmetic number, because the mean of its divisors is an integer number (5085080).

Almost surely, 2^507768768 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 507768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854293440).

507768768 is an abundant number, since it is smaller than the sum of its proper divisors (1200818112).

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

507768768 is a wasteful number, since it uses less digits than its factorization.

507768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 507768768 is about 22533.7251247991. The cubic root of 507768768 is about 797.7901345726.

It can be divided in two parts, 507768 and 768, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 507768768 in words is "five hundred seven million, seven hundred sixty-eight thousand, seven hundred sixty-eight".