766249160000 has 140 divisors (see below), whose sum is σ = 2011818252708. Its totient is φ = 288470016000.

The previous prime is 766249159997. The next prime is 766249160003. The reversal of 766249160000 is 61942667.

It is an interprime number because it is at equal distance from previous prime (766249159997) and next prime (766249160003).

It can be written as a sum of positive squares in 10 ways, for example, as 569638505536 + 196610654464 = 754744^2 + 443408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 766249160000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766249160003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 116582 + ... + 1243418.

Almost surely, 2^766249160000 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 766249160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005909126354).

766249160000 is an abundant number, since it is smaller than the sum of its proper divisors (1245569092708).

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

766249160000 is a wasteful number, since it uses less digits than its factorization.

766249160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126886 (or 1126861 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 766249160000 in words is "seven hundred sixty-six billion, two hundred forty-nine million, one hundred sixty thousand".