787628160 has 384 divisors, whose sum is σ = 3070379520. Its totient is φ = 184320000.

The previous prime is 787628141. The next prime is 787628161. The reversal of 787628160 is 61826787.

787628160 is a `hidden beast` number, since 7 + 8 + 7 + 628 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (787628161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963960 + ... + 1964360.

It is an arithmetic number, because the mean of its divisors is an integer number (7995780).

Almost surely, 2^787628160 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 787628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535189760).

787628160 is an abundant number, since it is smaller than the sum of its proper divisors (2282751360).

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

787628160 is a wasteful number, since it uses less digits than its factorization.

787628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 787628160 is about 28064.7137879580. The cubic root of 787628160 is about 923.5074678705.

Adding to 787628160 its sum of digits (45), we get a triangular number (787628205 = T₃₉₆₈₉).

The spelling of 787628160 in words is "seven hundred eighty-seven million, six hundred twenty-eight thousand, one hundred sixty".