772401 has 8 divisors (see below), whose sum is σ = 1177024. Its totient is φ = 441360.

The previous prime is 772393. The next prime is 772403. The reversal of 772401 is 104277.

772401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 772401 - 2³ = 772393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 36781 = 772401 / (7 + 7 + 2 + 4 + 0 + 1).

It is a Duffinian number.

772401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (772403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18370 + ... + 18411.

It is an arithmetic number, because the mean of its divisors is an integer number (147128).

2⁷⁷²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

772401 is a deficient number, since it is larger than the sum of its proper divisors (404623).

772401 is a wasteful number, since it uses less digits than its factorization.

772401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36791.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 772401 is about 878.8634706256. The cubic root of 772401 is about 91.7517329719.

Adding to 772401 its reverse (104277), we get a palindrome (876678).

The spelling of 772401 in words is "seven hundred seventy-two thousand, four hundred one", and thus it is an iban number.