769508411040 has 144 divisors (see below), whose sum is σ = 2723204903328. Its totient is φ = 205202232576.

The previous prime is 769508411027. The next prime is 769508411047. The reversal of 769508411040 is 40114805967.

769508411040 is a `hidden beast` number, since 7 + 69 + 508 + 41 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×769508411040² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (769508411047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9857062 + ... + 9934821.

It is an arithmetic number, because the mean of its divisors is an integer number (18911145162).

Almost surely, 2^769508411040 is an apocalyptic number.

It is an amenable number.

769508411040 is an abundant number, since it is smaller than the sum of its proper divisors (1953696492288).

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

769508411040 is a wasteful number, since it uses less digits than its factorization.

769508411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19791913 (or 19791893 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 769508411040 in words is "seven hundred sixty-nine billion, five hundred eight million, four hundred eleven thousand, forty".