787434648 has 256 divisors, whose sum is σ = 2685312000. Its totient is φ = 185794560.

The previous prime is 787434617. The next prime is 787434653. The reversal of 787434648 is 846434787.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 787434648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753528 + ... + 1753976.

It is an arithmetic number, because the mean of its divisors is an integer number (10489500).

Almost surely, 2^787434648 is an apocalyptic number.

787434648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787434648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342656000).

787434648 is an abundant number, since it is smaller than the sum of its proper divisors (1897877352).

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

787434648 is a wasteful number, since it uses less digits than its factorization.

787434648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 787434648 is about 28061.2659728673. The cubic root of 787434648 is about 923.4318296341.

The spelling of 787434648 in words is "seven hundred eighty-seven million, four hundred thirty-four thousand, six hundred forty-eight".