787285920 has 192 divisors, whose sum is σ = 2583899136. Its totient is φ = 201277440.

The previous prime is 787285897. The next prime is 787285921. The reversal of 787285920 is 29582787.

787285920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 787285920.

It is not an unprimeable number, because it can be changed into a prime (787285921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335992 + ... + 2336328.

It is an arithmetic number, because the mean of its divisors is an integer number (13457808).

Almost surely, 2^787285920 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 787285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291949568).

787285920 is an abundant number, since it is smaller than the sum of its proper divisors (1796613216).

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

787285920 is a wasteful number, since it uses less digits than its factorization.

787285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 787285920 is about 28058.6157890941. The cubic root of 787285920 is about 923.3736877438.

It can be divided in two parts, 78728 and 5920, that added together give a palindrome (84648).

The spelling of 787285920 in words is "seven hundred eighty-seven million, two hundred eighty-five thousand, nine hundred twenty".