787628450160 has 240 divisors, whose sum is σ = 2803287140640. Its totient is φ = 203258419200.

The previous prime is 787628450159. The next prime is 787628450177. The reversal of 787628450160 is 61054826787.

787628450160 is a `hidden beast` number, since 7 + 8 + 7 + 6 + 28 + 450 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 787628450097 and 787628450106.

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 47 ways as a sum of consecutive naturals, for example, 1886040 + ... + 2265480.

It is an arithmetic number, because the mean of its divisors is an integer number (11680363086).

Almost surely, 2^787628450160 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 787628450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401643570320).

787628450160 is an abundant number, since it is smaller than the sum of its proper divisors (2015658690480).

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

787628450160 is a wasteful number, since it uses less digits than its factorization.

787628450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379525 (or 379482 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 787628450160 in words is "seven hundred eighty-seven billion, six hundred twenty-eight million, four hundred fifty thousand, one hundred sixty".