787262112 has 768 divisors, whose sum is σ = 3251404800. Its totient is φ = 179159040.

The previous prime is 787262087. The next prime is 787262117. The reversal of 787262112 is 211262787.

787262112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (787262117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25395537 + ... + 25395567.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^787262112 is an apocalyptic number.

787262112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

787262112 is an abundant number, since it is smaller than the sum of its proper divisors (2464142688).

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

787262112 is a wasteful number, since it uses less digits than its factorization.

787262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 787262112 is about 28058.1915311732. The cubic root of 787262112 is about 923.3643798580.

The spelling of 787262112 in words is "seven hundred eighty-seven million, two hundred sixty-two thousand, one hundred twelve".