776348820 has 288 divisors, whose sum is σ = 2685795840. Its totient is φ = 186001920.

The previous prime is 776348819. The next prime is 776348827. The reversal of 776348820 is 28843677.

It is a happy number.

776348820 is a `hidden beast` number, since 7 + 7 + 634 + 8 + 8 + 2 + 0 = 666.

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 (776348827) 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, 4289130 + ... + 4289310.

It is an arithmetic number, because the mean of its divisors is an integer number (9325680).

Almost surely, 2^776348820 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 776348820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342897920).

776348820 is an abundant number, since it is smaller than the sum of its proper divisors (1909447020).

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

776348820 is a wasteful number, since it uses less digits than its factorization.

776348820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 776348820 is about 27863.0368050577. The cubic root of 776348820 is about 919.0778488433.

The spelling of 776348820 in words is "seven hundred seventy-six million, three hundred forty-eight thousand, eight hundred twenty".