766275552 has 240 divisors, whose sum is σ = 2601577440. Its totient is φ = 216732672.

The previous prime is 766275533. The next prime is 766275553. The reversal of 766275552 is 255572667.

766275552 is a `hidden beast` number, since 76 + 6 + 27 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 766275498 and 766275507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766275553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2848474 + ... + 2848742.

It is an arithmetic number, because the mean of its divisors is an integer number (10839906).

Almost surely, 2^766275552 is an apocalyptic number.

766275552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766275552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300788720).

766275552 is an abundant number, since it is smaller than the sum of its proper divisors (1835301888).

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

766275552 is a wasteful number, since it uses less digits than its factorization.

766275552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 766275552 is about 27681.6826078185. The cubic root of 766275552 is about 915.0854636646.

The spelling of 766275552 in words is "seven hundred sixty-six million, two hundred seventy-five thousand, five hundred fifty-two".