7904232000 has 336 divisors, whose sum is σ = 32316066432. Its totient is φ = 1806566400.

The previous prime is 7904231941. The next prime is 7904232029. The reversal of 7904232000 is 2324097.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 496159 + ... + 511841.

Almost surely, 2^7904232000 is an apocalyptic number.

7904232000 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 7904232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158033216).

7904232000 is an abundant number, since it is smaller than the sum of its proper divisors (24411834432).

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

7904232000 is a wasteful number, since it uses less digits than its factorization.

7904232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15723 (or 15700 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7904232000 is about 88905.7478456821. The cubic root of 7904232000 is about 1991.9872743175.

Adding to 7904232000 its reverse (2324097), we get a palindrome (7906556097).

The spelling of 7904232000 in words is "seven billion, nine hundred four million, two hundred thirty-two thousand".