77826001 has 16 divisors (see below), whose sum is σ = 87582528. Its totient is φ = 68544000.

The previous prime is 77825987. The next prime is 77826019. The reversal of 77826001 is 10062877.

It is a happy number.

It is a 3-Lehmer number, since φ(77826001) divides (77826001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 77826001 - 2¹¹ = 77823953 is a prime.

It is a deceptive number, since it divides R_77826000.

It is not an unprimeable number, because it can be changed into a prime (77821001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64201 + ... + 65401.

It is an arithmetic number, because the mean of its divisors is an integer number (5473908).

It is a Poulet number, since it divides 2^77826000-1.

Almost surely, 2^77826001 is an apocalyptic number.

It is an amenable number.

77826001 is a deficient number, since it is larger than the sum of its proper divisors (9756527).

77826001 is a wasteful number, since it uses less digits than its factorization.

77826001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 77826001 is about 8821.9046129507. The cubic root of 77826001 is about 426.9479229416.

Adding to 77826001 its reverse (10062877), we get a palindrome (87888878).

The spelling of 77826001 in words is "seventy-seven million, eight hundred twenty-six thousand, one".