76400467 has 16 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 63809280.

The previous prime is 76400459. The next prime is 76400477.

76400467 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 76400467 - 2³ = 76400459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76400407) 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, 32173 + ... + 34465.

It is an arithmetic number, because the mean of its divisors is an integer number (5636358).

Almost surely, 2^76400467 is an apocalyptic number.

76400467 is a deficient number, since it is larger than the sum of its proper divisors (13781261).

76400467 is a wasteful number, since it uses less digits than its factorization.

76400467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 76400467 is about 8740.7360674030. The cubic root of 76400467 is about 424.3250500054.

It can be divided in two parts, 76400 and 467, that added together give a palindrome (76867).

The spelling of 76400467 in words is "seventy-six million, four hundred thousand, four hundred sixty-seven".