766579050 has 72 divisors (see below), whose sum is σ = 2109825900. Its totient is φ = 199430400.

The previous prime is 766579049. The next prime is 766579117. The reversal of 766579050 is 50975667.

It is a happy number.

766579050 is a `hidden beast` number, since 76 + 6 + 579 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2996361 + 763582689 = 1731^2 + 27633^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 766578987 and 766579005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2325 + ... + 39224.

Almost surely, 2^766579050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766579050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054912950).

766579050 is an abundant number, since it is smaller than the sum of its proper divisors (1343246850).

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

766579050 is a wasteful number, since it uses less digits than its factorization.

766579050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41608 (or 41600 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 766579050 is about 27687.1639934465. The cubic root of 766579050 is about 915.2062600496.

The spelling of 766579050 in words is "seven hundred sixty-six million, five hundred seventy-nine thousand, fifty".