776401416 has 128 divisors (see below), whose sum is σ = 2488320000. Its totient is φ = 219710016.

The previous prime is 776401349. The next prime is 776401433. The reversal of 776401416 is 614104677.

776401416 is a `hidden beast` number, since 7 + 7 + 640 + 1 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159385 + ... + 164183.

It is an arithmetic number, because the mean of its divisors is an integer number (19440000).

Almost surely, 2^776401416 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 776401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160000).

776401416 is an abundant number, since it is smaller than the sum of its proper divisors (1711918584).

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

776401416 is a wasteful number, since it uses less digits than its factorization.

776401416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 776401416 is about 27863.9806201483. The cubic root of 776401416 is about 919.0986035718.

The spelling of 776401416 in words is "seven hundred seventy-six million, four hundred one thousand, four hundred sixteen".