7782401 has 8 divisors (see below), whose sum is σ = 8671104. Its totient is φ = 6923920.

The previous prime is 7782377. The next prime is 7782403. The reversal of 7782401 is 1042877.

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 7782401 - 2⁶ = 7782337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7782403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7010 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (1083888).

It is a Proth number, since it is equal to 475 ⋅ 2¹⁴ + 1 and 475 < 2¹⁴.

Almost surely, 2^7782401 is an apocalyptic number.

It is an amenable number.

7782401 is a deficient number, since it is larger than the sum of its proper divisors (888703).

7782401 is a wasteful number, since it uses less digits than its factorization.

7782401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 7782401 is about 2789.6955030971. The cubic root of 7782401 is about 198.1699812288.

The spelling of 7782401 in words is "seven million, seven hundred eighty-two thousand, four hundred one".