788097040 has 80 divisors (see below), whose sum is σ = 1946951280. Its totient is φ = 296110080.

The previous prime is 788096963. The next prime is 788097049. The reversal of 788097040 is 40790887.

It can be written as a sum of positive squares in 8 ways, for example, as 45643536 + 742453504 = 6756^2 + 27248^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (788097049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81250 + ... + 90430.

It is an arithmetic number, because the mean of its divisors is an integer number (24336891).

Almost surely, 2^788097040 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 788097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973475640).

788097040 is an abundant number, since it is smaller than the sum of its proper divisors (1158854240).

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

788097040 is a wasteful number, since it uses less digits than its factorization.

788097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 788097040 is about 28073.0660954588. The cubic root of 788097040 is about 923.6906881203.

It can be divided in two parts, 78809 and 7040, that added together give a square (85849 = 293²).

The spelling of 788097040 in words is "seven hundred eighty-eight million, ninety-seven thousand, forty".