788336640 has 624 divisors, whose sum is σ = 3434715648. Its totient is φ = 162791424.

The previous prime is 788336621. The next prime is 788336651. The reversal of 788336640 is 46633887.

It is a tau number, because it is divible by the number of its divisors (624).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16773097 + ... + 16773143.

It is an arithmetic number, because the mean of its divisors is an integer number (5504352).

Almost surely, 2^788336640 is an apocalyptic number.

788336640 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 788336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717357824).

788336640 is an abundant number, since it is smaller than the sum of its proper divisors (2646379008).

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

788336640 is a wasteful number, since it uses less digits than its factorization.

788336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 788336640 is about 28077.3332066990. Note that the first 3 decimals coincide. The cubic root of 788336640 is about 923.7842865195.

The spelling of 788336640 in words is "seven hundred eighty-eight million, three hundred thirty-six thousand, six hundred forty".