789973632 has 192 divisors, whose sum is σ = 2618266560. Its totient is φ = 223948800.

The previous prime is 789973579. The next prime is 789973633. The reversal of 789973632 is 236379987.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (789973633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314132 + ... + 1314732.

It is an arithmetic number, because the mean of its divisors is an integer number (13636805).

Almost surely, 2^789973632 is an apocalyptic number.

789973632 is a gapful number since it is divisible by the number (72) 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 789973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309133280).

789973632 is an abundant number, since it is smaller than the sum of its proper divisors (1828292928).

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

789973632 is a wasteful number, since it uses less digits than its factorization.

789973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 789973632 is about 28106.4695755266. The cubic root of 789973632 is about 924.4232614174.

The spelling of 789973632 in words is "seven hundred eighty-nine million, nine hundred seventy-three thousand, six hundred thirty-two".