787726080 has 288 divisors, whose sum is σ = 2919813120. Its totient is φ = 200724480.

The previous prime is 787726033. The next prime is 787726097. The reversal of 787726080 is 80627787.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×787726080² = 1241024754224332800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 794385 + ... + 795375.

It is an arithmetic number, because the mean of its divisors is an integer number (10138240).

Almost surely, 2^787726080 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 787726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459906560).

787726080 is an abundant number, since it is smaller than the sum of its proper divisors (2132087040).

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

787726080 is a wasteful number, since it uses less digits than its factorization.

787726080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 787726080 is about 28066.4582731773. The cubic root of 787726080 is about 923.5457372420.

The spelling of 787726080 in words is "seven hundred eighty-seven million, seven hundred twenty-six thousand, eighty".