776361346400 has 144 divisors (see below), whose sum is σ = 1975431564288. Its totient is φ = 297608256000.

The previous prime is 776361346379. The next prime is 776361346403. The reversal of 776361346400 is 4643163677.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776361346403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402435 + ... + 2706365.

It is an arithmetic number, because the mean of its divisors is an integer number (13718274752).

Almost surely, 2^776361346400 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 776361346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987715782144).

776361346400 is an abundant number, since it is smaller than the sum of its proper divisors (1199070217888).

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

776361346400 is a wasteful number, since it uses less digits than its factorization.

776361346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304085 (or 304072 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 47.

The spelling of 776361346400 in words is "seven hundred seventy-six billion, three hundred sixty-one million, three hundred forty-six thousand, four hundred".