766805253120 has 880 divisors, whose sum is σ = 2958785679168. Its totient is φ = 189191946240.

The previous prime is 766805253083. The next prime is 766805253157. The reversal of 766805253120 is 21352508667.

766805253120 is a `hidden beast` number, since 7 + 6 + 68 + 0 + 52 + 531 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (766805253083) and next prime (766805253157).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430063749 + ... + 430065531.

Almost surely, 2^766805253120 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 766805253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479392839584).

766805253120 is an abundant number, since it is smaller than the sum of its proper divisors (2191980426048).

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

766805253120 is a wasteful number, since it uses less digits than its factorization.

766805253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 766805253120 in words is "seven hundred sixty-six billion, eight hundred five million, two hundred fifty-three thousand, one hundred twenty".