83776401 has 12 divisors (see below), whose sum is σ = 123062160. Its totient is φ = 54903960.

The previous prime is 83776351. The next prime is 83776409. The reversal of 83776401 is 10467738.

83776401 is a `hidden beast` number, since 8 + 3 + 7 + 7 + 640 + 1 = 666.

It is not a de Polignac number, because 83776401 - 2⁶ = 83776337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83776409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78355 + ... + 79416.

It is an arithmetic number, because the mean of its divisors is an integer number (10255180).

Almost surely, 2^83776401 is an apocalyptic number.

It is an amenable number.

83776401 is a deficient number, since it is larger than the sum of its proper divisors (39285759).

83776401 is a wasteful number, since it uses less digits than its factorization.

83776401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157836 (or 157833 counting only the distinct ones).

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

The square root of 83776401 is about 9152.9449359209. The cubic root of 83776401 is about 437.5629749892.

The spelling of 83776401 in words is "eighty-three million, seven hundred seventy-six thousand, four hundred one".