766743306240 has 672 divisors, whose sum is σ = 2611260419328. Its totient is φ = 191987712000.

The previous prime is 766743306239. The next prime is 766743306311. The reversal of 766743306240 is 42603347667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 766743306240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5077770165 + ... + 5077770315.

Almost surely, 2^766743306240 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 766743306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305630209664).

766743306240 is an abundant number, since it is smaller than the sum of its proper divisors (1844517113088).

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

766743306240 is a wasteful number, since it uses less digits than its factorization.

766743306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 766743306240 in words is "seven hundred sixty-six billion, seven hundred forty-three million, three hundred six thousand, two hundred forty".