788538240 has 640 divisors, whose sum is σ = 3358998720. Its totient is φ = 172523520.

The previous prime is 788538221. The next prime is 788538241. The reversal of 788538240 is 42835887.

788538240 is a `hidden beast` number, since 78 + 8 + 538 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788538241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14878054 + ... + 14878106.

Almost surely, 2^788538240 is an apocalyptic number.

788538240 is a gapful number since it is divisible by the number (70) 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 788538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

788538240 is an abundant number, since it is smaller than the sum of its proper divisors (2570460480).

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

788538240 is a wasteful number, since it uses less digits than its factorization.

788538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 788538240 is about 28080.9230617514. The cubic root of 788538240 is about 923.8630257407.

The spelling of 788538240 in words is "seven hundred eighty-eight million, five hundred thirty-eight thousand, two hundred forty".