7835904000 has 576 divisors, whose sum is σ = 29896776000. Its totient is φ = 1968537600.

The previous prime is 7835903983. The next prime is 7835904001. The reversal of 7835904000 is 4095387.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7835904000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7835904001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43775911 + ... + 43776089.

It is an arithmetic number, because the mean of its divisors is an integer number (51904125).

Almost surely, 2^7835904000 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 7835904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948388000).

7835904000 is an abundant number, since it is smaller than the sum of its proper divisors (22060872000).

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

7835904000 is a wasteful number, since it uses less digits than its factorization.

7835904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7835904000 is about 88520.6416605754. The cubic root of 7835904000 is about 1986.2307548220.

Adding to 7835904000 its reverse (4095387), we get a palindrome (7839999387).

The spelling of 7835904000 in words is "seven billion, eight hundred thirty-five million, nine hundred four thousand".