789647040 has 672 divisors, whose sum is σ = 3514807296. Its totient is φ = 158146560.

The previous prime is 789647029. The next prime is 789647077. The reversal of 789647040 is 40746987.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027775 + ... + 6027905.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^789647040 is an apocalyptic number.

789647040 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 789647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757403648).

789647040 is an abundant number, since it is smaller than the sum of its proper divisors (2725160256).

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

789647040 is a wasteful number, since it uses less digits than its factorization.

789647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 789647040 is about 28100.6590670041. The cubic root of 789647040 is about 924.2958517401.

The spelling of 789647040 in words is "seven hundred eighty-nine million, six hundred forty-seven thousand, forty".