767148256900 has 27 divisors (see below), whose sum is σ = 1664730724069. Its totient is φ = 306855799280.

The previous prime is 767148256829. The next prime is 767148256909. The reversal of 767148256900 is 9652841767.

The square root of 767148256900 is 875870.

It is a perfect power (a square), and thus also a powerful number.

767148256900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 276173372484 + 490974884416 = 525522^2 + 700696^2 .

It is a super-2 number, since 2×767148256900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (767148256909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8714907 + ... + 8802493.

Almost surely, 2^767148256900 is an apocalyptic number.

767148256900 is the 875870-th square number.

It is an amenable number.

767148256900 is an abundant number, since it is smaller than the sum of its proper divisors (897582467169).

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

767148256900 is an frugal number, since it uses more digits than its factorization.

767148256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175188 (or 87594 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 767148256900 in words is "seven hundred sixty-seven billion, one hundred forty-eight million, two hundred fifty-six thousand, nine hundred".