769541040 has 320 divisors, whose sum is σ = 2956953600. Its totient is φ = 182808576.

The previous prime is 769541039. The next prime is 769541041. The reversal of 769541040 is 40145967.

769541040 is a `hidden beast` number, since 76 + 9 + 541 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (769541039) and next prime (769541041).

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

It is a junction number, because it is equal to n+sod(n) for n = 769540986 and 769541004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769541041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697129 + ... + 698231.

It is an arithmetic number, because the mean of its divisors is an integer number (9240480).

Almost surely, 2^769541040 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 769541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478476800).

769541040 is an abundant number, since it is smaller than the sum of its proper divisors (2187412560).

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

769541040 is a wasteful number, since it uses less digits than its factorization.

769541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 769541040 is about 27740.6027331780. The cubic root of 769541040 is about 916.3835023265.

The spelling of 769541040 in words is "seven hundred sixty-nine million, five hundred forty-one thousand, forty".