776468160 has 448 divisors, whose sum is σ = 3058728960. Its totient is φ = 184135680.

The previous prime is 776468111. The next prime is 776468167. The reversal of 776468160 is 61864677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (776468167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3481809 + ... + 3482031.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2^776468160 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 776468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529364480).

776468160 is an abundant number, since it is smaller than the sum of its proper divisors (2282260800).

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

776468160 is a wasteful number, since it uses less digits than its factorization.

776468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 776468160 is about 27865.1782696612. The cubic root of 776468160 is about 919.1249398450.

The spelling of 776468160 in words is "seven hundred seventy-six million, four hundred sixty-eight thousand, one hundred sixty".