510778672 has 40 divisors (see below), whose sum is σ = 1046788160. Its totient is φ = 240770880.

The previous prime is 510778669. The next prime is 510778693. The reversal of 510778672 is 276877015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60163 + ... + 68125.

It is an arithmetic number, because the mean of its divisors is an integer number (26169704).

Almost surely, 2^510778672 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 510778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523394080).

510778672 is an abundant number, since it is smaller than the sum of its proper divisors (536009488).

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

510778672 is a wasteful number, since it uses less digits than its factorization.

510778672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The square root of 510778672 is about 22600.4130935698. The cubic root of 510778672 is about 799.3633852030.

The spelling of 510778672 in words is "five hundred ten million, seven hundred seventy-eight thousand, six hundred seventy-two".