776673408 has 128 divisors (see below), whose sum is σ = 2379553920. Its totient is φ = 219856896.

The previous prime is 776673397. The next prime is 776673427. The reversal of 776673408 is 804376677.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302466 + ... + 305022.

It is an arithmetic number, because the mean of its divisors is an integer number (18590265).

Almost surely, 2^776673408 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 776673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189776960).

776673408 is an abundant number, since it is smaller than the sum of its proper divisors (1602880512).

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

776673408 is a wasteful number, since it uses less digits than its factorization.

776673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 776673408 is about 27868.8609024481. The cubic root of 776673408 is about 919.2059184546.

The spelling of 776673408 in words is "seven hundred seventy-six million, six hundred seventy-three thousand, four hundred eight".