785977779587 has 32 divisors (see below), whose sum is σ = 1065544596480. Its totient is φ = 559849864320.

The previous prime is 785977779581. The next prime is 785977779589.

785977779587 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 785977779587 - 2¹² = 785977775491 is a prime.

It is a super-2 number, since 2×785977779587² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 785977779499 and 785977779508.

It is not an unprimeable number, because it can be changed into a prime (785977779581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708512 + ... + 3914717.

It is an arithmetic number, because the mean of its divisors is an integer number (33298268640).

Almost surely, 2^785977779587 is an apocalyptic number.

785977779587 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

785977779587 is a deficient number, since it is larger than the sum of its proper divisors (279566816893).

785977779587 is a wasteful number, since it uses less digits than its factorization.

785977779587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623363.

The product of its digits is 15247310400, while the sum is 86.

The spelling of 785977779587 in words is "seven hundred eighty-five billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, five hundred eighty-seven".