787656960 has 360 divisors, whose sum is σ = 2884787136. Its totient is φ = 205148160.

The previous prime is 787656943. The next prime is 787656967. The reversal of 787656960 is 69656787.

It is a happy number.

787656960 is a `hidden beast` number, since 7 + 8 + 76 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 787656897 and 787656906.

It is not an unprimeable number, because it can be changed into a prime (787656967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7361227 + ... + 7361333.

Almost surely, 2^787656960 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 787656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442393568).

787656960 is an abundant number, since it is smaller than the sum of its proper divisors (2097130176).

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

787656960 is a wasteful number, since it uses less digits than its factorization.

787656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 787656960 is about 28065.2268831022. The cubic root of 787656960 is about 923.5187238973.

The spelling of 787656960 in words is "seven hundred eighty-seven million, six hundred fifty-six thousand, nine hundred sixty".