776732640 has 96 divisors (see below), whose sum is σ = 2488268160. Its totient is φ = 203610624.

The previous prime is 776732639. The next prime is 776732651. The reversal of 776732640 is 46237677.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 776732592 and 776732601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14607 + ... + 42033.

It is an arithmetic number, because the mean of its divisors is an integer number (25919460).

Almost surely, 2^776732640 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 776732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244134080).

776732640 is an abundant number, since it is smaller than the sum of its proper divisors (1711535520).

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

776732640 is a wasteful number, since it uses less digits than its factorization.

776732640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27504 (or 27496 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 776732640 is about 27869.9235736304. The cubic root of 776732640 is about 919.2292852136.

The spelling of 776732640 in words is "seven hundred seventy-six million, seven hundred thirty-two thousand, six hundred forty".