76414401 has 16 divisors (see below), whose sum is σ = 129379200. Its totient is φ = 43665264.

The previous prime is 76414379. The next prime is 76414417. The reversal of 76414401 is 10441467.

76414401 = 931² + 932² + ... + 1011².

It is not a de Polignac number, because 76414401 - 2¹⁰ = 76413377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76414451) 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, 201966 + ... + 202343.

It is an arithmetic number, because the mean of its divisors is an integer number (8086200).

Almost surely, 2^76414401 is an apocalyptic number.

It is an amenable number.

76414401 is a deficient number, since it is larger than the sum of its proper divisors (52964799).

76414401 is a wasteful number, since it uses less digits than its factorization.

76414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404325 (or 404319 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76414401 is about 8741.5331035237. The cubic root of 76414401 is about 424.3508447248.

Adding to 76414401 its reverse (10441467), we get a palindrome (86855868).

The spelling of 76414401 in words is "seventy-six million, four hundred fourteen thousand, four hundred one".