76786401 has 8 divisors (see below), whose sum is σ = 102913120. Its totient is φ = 50925312.

The previous prime is 76786363. The next prime is 76786421. The reversal of 76786401 is 10468767.

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

It is not a de Polignac number, because 76786401 - 2¹¹ = 76784353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76786401.

It is not an unprimeable number, because it can be changed into a prime (76786421) 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 7 ways as a sum of consecutive naturals, for example, 65731 + ... + 66888.

It is an arithmetic number, because the mean of its divisors is an integer number (12864140).

Almost surely, 2^76786401 is an apocalyptic number.

It is an amenable number.

76786401 is a deficient number, since it is larger than the sum of its proper divisors (26126719).

76786401 is a wasteful number, since it uses less digits than its factorization.

76786401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132815.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 76786401 is about 8762.7850024978. The cubic root of 76786401 is about 425.0383374874.

The spelling of 76786401 in words is "seventy-six million, seven hundred eighty-six thousand, four hundred one".