766248028 has 72 divisors (see below), whose sum is σ = 1675302048. Its totient is φ = 300238848.

The previous prime is 766248019. The next prime is 766248053. The reversal of 766248028 is 820842667.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534000 + ... + 535432.

It is an arithmetic number, because the mean of its divisors is an integer number (23268084).

Almost surely, 2^766248028 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 766248028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837651024).

766248028 is an abundant number, since it is smaller than the sum of its proper divisors (909054020).

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

766248028 is a wasteful number, since it uses less digits than its factorization.

766248028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 766248028 is about 27681.1854514939. The cubic root of 766248028 is about 915.0745071561.

The spelling of 766248028 in words is "seven hundred sixty-six million, two hundred forty-eight thousand, twenty-eight".