506977768 has 32 divisors (see below), whose sum is σ = 1072764000. Its totient is φ = 222496960.

The previous prime is 506977747. The next prime is 506977781. The reversal of 506977768 is 867779605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96778 + ... + 101881.

It is an arithmetic number, because the mean of its divisors is an integer number (33523875).

Almost surely, 2^506977768 is an apocalyptic number.

506977768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

506977768 is an abundant number, since it is smaller than the sum of its proper divisors (565786232).

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

506977768 is a wasteful number, since it uses less digits than its factorization.

506977768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198705 (or 198701 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The square root of 506977768 is about 22516.1668140916. The cubic root of 506977768 is about 797.3756545944.

The spelling of 506977768 in words is "five hundred six million, nine hundred seventy-seven thousand, seven hundred sixty-eight".