766528040 has 16 divisors (see below), whose sum is σ = 1724688180. Its totient is φ = 306611200.

The previous prime is 766528033. The next prime is 766528043. The reversal of 766528040 is 40825667.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 698333476 + 68194564 = 26426^2 + 8258^2 .

It is a super-2 number, since 2×766528040² = 1175130472212483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766527985 and 766528003.

It is not an unprimeable number, because it can be changed into a prime (766528043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9581561 + ... + 9581640.

Almost surely, 2^766528040 is an apocalyptic number.

It is an amenable number.

766528040 is an abundant number, since it is smaller than the sum of its proper divisors (958160140).

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

766528040 is a wasteful number, since it uses less digits than its factorization.

766528040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19163212 (or 19163208 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 766528040 is about 27686.2427931274. The cubic root of 766528040 is about 915.1859595962.

The spelling of 766528040 in words is "seven hundred sixty-six million, five hundred twenty-eight thousand, forty".