776808540 has 288 divisors, whose sum is σ = 2717245440. Its totient is φ = 178329600.

The previous prime is 776808517. The next prime is 776808541. The reversal of 776808540 is 45808677.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (776808541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1802125 + ... + 1802555.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^776808540 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 776808540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

776808540 is an abundant number, since it is smaller than the sum of its proper divisors (1940436900).

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

776808540 is a wasteful number, since it uses less digits than its factorization.

776808540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 776808540 is about 27871.2852233262. The cubic root of 776808540 is about 919.2592256876.

The spelling of 776808540 in words is "seven hundred seventy-six million, eight hundred eight thousand, five hundred forty".