787984967 has 32 divisors (see below), whose sum is σ = 1062151680. Its totient is φ = 565937280.

The previous prime is 787984963. The next prime is 787984979. The reversal of 787984967 is 769489787.

It is a cyclic number.

It is not a de Polignac number, because 787984967 - 2² = 787984963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787984961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46853 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (33192240).

Almost surely, 2^787984967 is an apocalyptic number.

787984967 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

787984967 is a deficient number, since it is larger than the sum of its proper divisors (274166713).

787984967 is a wasteful number, since it uses less digits than its factorization.

787984967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631.

The product of its digits is 42674688, while the sum is 65.

The square root of 787984967 is about 28071.0699297337. The cubic root of 787984967 is about 923.6469009178.

The spelling of 787984967 in words is "seven hundred eighty-seven million, nine hundred eighty-four thousand, nine hundred sixty-seven".