787810464 has 288 divisors, whose sum is σ = 2747437056. Its totient is φ = 209018880.

The previous prime is 787810453. The next prime is 787810477. The reversal of 787810464 is 464018787.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4352454 + ... + 4352634.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2^787810464 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 787810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373718528).

787810464 is an abundant number, since it is smaller than the sum of its proper divisors (1959626592).

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

787810464 is a wasteful number, since it uses less digits than its factorization.

787810464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 787810464 is about 28067.9615219916. The cubic root of 787810464 is about 923.5787138917.

The spelling of 787810464 in words is "seven hundred eighty-seven million, eight hundred ten thousand, four hundred sixty-four".