787048416 has 144 divisors (see below), whose sum is σ = 2790523008. Its totient is φ = 204422400.

The previous prime is 787048411. The next prime is 787048453. The reversal of 787048416 is 614840787.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787048411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4431 + ... + 39921.

It is an arithmetic number, because the mean of its divisors is an integer number (19378632).

Almost surely, 2^787048416 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 787048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395261504).

787048416 is an abundant number, since it is smaller than the sum of its proper divisors (2003474592).

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

787048416 is a wasteful number, since it uses less digits than its factorization.

787048416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35525 (or 35514 counting only the distinct ones).

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

The square root of 787048416 is about 28054.3831869460. The cubic root of 787048416 is about 923.2808256737.

The spelling of 787048416 in words is "seven hundred eighty-seven million, forty-eight thousand, four hundred sixteen".