785776464 has 240 divisors, whose sum is σ = 2621498880. Its totient is φ = 225348480.

The previous prime is 785776451. The next prime is 785776493. The reversal of 785776464 is 464677587.

785776464 is a `hidden beast` number, since 7 + 8 + 577 + 6 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 785776464.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 812109 + ... + 813075.

It is an arithmetic number, because the mean of its divisors is an integer number (10922912).

Almost surely, 2^785776464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785776464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310749440).

785776464 is an abundant number, since it is smaller than the sum of its proper divisors (1835722416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

785776464 is a wasteful number, since it uses less digits than its factorization.

785776464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1002 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 785776464 is about 28031.7046217314. The cubic root of 785776464 is about 922.7831849223.

The spelling of 785776464 in words is "seven hundred eighty-five million, seven hundred seventy-six thousand, four hundred sixty-four".