80776638 has 72 divisors (see below), whose sum is σ = 191146176. Its totient is φ = 24624000.

The previous prime is 80776609. The next prime is 80776643. The reversal of 80776638 is 83667708.

80776638 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 80776593 and 80776602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201238 + ... + 201638.

It is an arithmetic number, because the mean of its divisors is an integer number (2654808).

Almost surely, 2^80776638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80776638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573088).

80776638 is an abundant number, since it is smaller than the sum of its proper divisors (110369538).

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

80776638 is a wasteful number, since it uses less digits than its factorization.

80776638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

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

The square root of 80776638 is about 8987.5824335580. The cubic root of 80776638 is about 432.2767966320.

The spelling of 80776638 in words is "eighty million, seven hundred seventy-six thousand, six hundred thirty-eight".