780288047 has 16 divisors (see below), whose sum is σ = 973845504. Its totient is φ = 607380000.

The previous prime is 780288023. The next prime is 780288071. The reversal of 780288047 is 740882087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (780288023) and next prime (780288071).

It is a cyclic number.

It is not a de Polignac number, because 780288047 - 2¹⁴ = 780271663 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 780287989 and 780288007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780288077) 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, 76922 + ... + 86472.

It is an arithmetic number, because the mean of its divisors is an integer number (60865344).

Almost surely, 2^780288047 is an apocalyptic number.

780288047 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

780288047 is a deficient number, since it is larger than the sum of its proper divisors (193557457).

780288047 is a wasteful number, since it uses less digits than its factorization.

780288047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10630.

The product of its (nonzero) digits is 200704, while the sum is 44.

The square root of 780288047 is about 27933.6364800575. The cubic root of 780288047 is about 920.6297071222.

The spelling of 780288047 in words is "seven hundred eighty million, two hundred eighty-eight thousand, forty-seven".