763401 has 16 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 471888.

The previous prime is 763391. The next prime is 763403. The reversal of 763401 is 104367.

It is not a de Polignac number, because 763401 - 2⁵ = 763369 is a prime.

It is a super-3 number, since 3×763401³ = 1334686993334910603, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (763403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250 + ... + 3476.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁷⁶³⁴⁰¹ is an apocalyptic number.

It is an amenable number.

763401 is a deficient number, since it is larger than the sum of its proper divisors (330999).

763401 is a wasteful number, since it uses less digits than its factorization.

763401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 763401 is about 873.7282186126. The cubic root of 763401 is about 91.3939767508.

Adding to 763401 its reverse (104367), we get a palindrome (867768).

The spelling of 763401 in words is "seven hundred sixty-three thousand, four hundred one".