77264401 has 8 divisors (see below), whose sum is σ = 78926400. Its totient is φ = 75618480.

The previous prime is 77264353. The next prime is 77264413. The reversal of 77264401 is 10446277.

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

It is a cyclic number.

It is not a de Polignac number, because 77264401 - 2¹⁹ = 76740113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77264101) 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, 5955 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2^77264401 is an apocalyptic number.

77264401 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

77264401 is a deficient number, since it is larger than the sum of its proper divisors (1661999).

77264401 is a wasteful number, since it uses less digits than its factorization.

77264401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039.

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 77264401 is about 8790.0171217126. The cubic root of 77264401 is about 425.9184768361.

The spelling of 77264401 in words is "seventy-seven million, two hundred sixty-four thousand, four hundred one".