766338048 has 198 divisors, whose sum is σ = 2575572246. Its totient is φ = 218824704.

The previous prime is 766338037. The next prime is 766338061. The reversal of 766338048 is 840833667.

766338048 is a `hidden beast` number, since 7 + 6 + 633 + 8 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 759112704 + 7225344 = 27552^2 + 2688^2 .

It is a super-3 number, since 3×766338048³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766337994 and 766338012.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450736 + ... + 452432.

Almost surely, 2^766338048 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 766338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287786123).

766338048 is an abundant number, since it is smaller than the sum of its proper divisors (1809234198).

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

766338048 is a wasteful number, since it uses less digits than its factorization.

766338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 766338048 is about 27682.8114179178. The cubic root of 766338048 is about 915.1103405409.

It can be divided in two parts, 76633 and 8048, that added together give a square (84681 = 291²).

The spelling of 766338048 in words is "seven hundred sixty-six million, three hundred thirty-eight thousand, forty-eight".