788640407040 has 320 divisors, whose sum is σ = 2612372083200. Its totient is φ = 202832707584.

The previous prime is 788640407003. The next prime is 788640407047. The reversal of 788640407040 is 40704046887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788640407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23998941 + ... + 24031779.

It is an arithmetic number, because the mean of its divisors is an integer number (8163662760).

Almost surely, 2^788640407040 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 788640407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306186041600).

788640407040 is an abundant number, since it is smaller than the sum of its proper divisors (1823731676160).

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

788640407040 is a wasteful number, since it uses less digits than its factorization.

788640407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32977 (or 32961 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 788640407040 in words is "seven hundred eighty-eight billion, six hundred forty million, four hundred seven thousand, forty".