769284540 has 168 divisors, whose sum is σ = 2550537360. Its totient is φ = 194275584.

The previous prime is 769284511. The next prime is 769284547. The reversal of 769284540 is 45482967.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769284547) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 275632 + ... + 278408.

It is an arithmetic number, because the mean of its divisors is an integer number (15181770).

Almost surely, 2^769284540 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 769284540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275268680).

769284540 is an abundant number, since it is smaller than the sum of its proper divisors (1781252820).

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

769284540 is a wasteful number, since it uses less digits than its factorization.

769284540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 769284540 is about 27735.9791606498. The cubic root of 769284540 is about 916.2816760532.

The spelling of 769284540 in words is "seven hundred sixty-nine million, two hundred eighty-four thousand, five hundred forty".