506785776 has 160 divisors (see below), whose sum is σ = 1594897920. Its totient is φ = 135834624.

The previous prime is 506785771. The next prime is 506785787. The reversal of 506785776 is 677587605.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506785771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650615 + ... + 1650921.

It is an arithmetic number, because the mean of its divisors is an integer number (9968112).

Almost surely, 2^506785776 is an apocalyptic number.

506785776 is a gapful number since it is divisible by the number (56) 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 506785776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797448960).

506785776 is an abundant number, since it is smaller than the sum of its proper divisors (1088112144).

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

506785776 is a wasteful number, since it uses less digits than its factorization.

506785776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The square root of 506785776 is about 22511.9029848656. The cubic root of 506785776 is about 797.2749867510.

The spelling of 506785776 in words is "five hundred six million, seven hundred eighty-five thousand, seven hundred seventy-six".