769508740 has 432 divisors, whose sum is σ = 2469458880. Its totient is φ = 197406720.

The previous prime is 769508731. The next prime is 769508767. The reversal of 769508740 is 47805967.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40500451 + ... + 40500469.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2^769508740 is an apocalyptic number.

769508740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769508740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234729440).

769508740 is an abundant number, since it is smaller than the sum of its proper divisors (1699950140).

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

769508740 is a wasteful number, since it uses less digits than its factorization.

769508740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 769508740 is about 27740.0205479376. The cubic root of 769508740 is about 916.3706810041.

The spelling of 769508740 in words is "seven hundred sixty-nine million, five hundred eight thousand, seven hundred forty".