787325760 has 336 divisors, whose sum is σ = 3090434256. Its totient is φ = 182255616.

The previous prime is 787325741. The next prime is 787325761. The reversal of 787325760 is 67523787.

787325760 is a `hidden beast` number, since 7 + 8 + 73 + 2 + 576 + 0 = 666.

787325760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 186624 + 787139136 = 432^2 + 28056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787325761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635862 + ... + 637098.

It is an arithmetic number, because the mean of its divisors is an integer number (9197721).

Almost surely, 2^787325760 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 787325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545217128).

787325760 is an abundant number, since it is smaller than the sum of its proper divisors (2303108496).

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

787325760 is a wasteful number, since it uses less digits than its factorization.

787325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 787325760 is about 28059.3257224759. The cubic root of 787325760 is about 923.3892630201.

It can be divided in two parts, 7873 and 25760, that added together give a palindrome (33633).

The spelling of 787325760 in words is "seven hundred eighty-seven million, three hundred twenty-five thousand, seven hundred sixty".