766268100 has 360 divisors, whose sum is σ = 2823152640. Its totient is φ = 178225920.

The previous prime is 766268099. The next prime is 766268171. The reversal of 766268100 is 1862667.

It is a happy number.

It is a super-2 number, since 2×766268100² = 1174333602155220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2000509 + ... + 2000891.

Almost surely, 2^766268100 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 766268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411576320).

766268100 is an abundant number, since it is smaller than the sum of its proper divisors (2056884540).

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

766268100 is a wasteful number, since it uses less digits than its factorization.

766268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 766268100 is about 27681.5480058468. The cubic root of 766268100 is about 915.0824972648.

The spelling of 766268100 in words is "seven hundred sixty-six million, two hundred sixty-eight thousand, one hundred".