7835082480 has 240 divisors, whose sum is σ = 28216006560. Its totient is φ = 1998222336.

The previous prime is 7835082449. The next prime is 7835082487. The reversal of 7835082480 is 842805387.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7835082480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7835082487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139212 + ... + 1146068.

It is an arithmetic number, because the mean of its divisors is an integer number (117566694).

Almost surely, 2^7835082480 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 7835082480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108003280).

7835082480 is an abundant number, since it is smaller than the sum of its proper divisors (20380924080).

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

7835082480 is a wasteful number, since it uses less digits than its factorization.

7835082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6890 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7835082480 is about 88516.0012653080. The cubic root of 7835082480 is about 1986.1613399288.

The spelling of 7835082480 in words is "seven billion, eight hundred thirty-five million, eighty-two thousand, four hundred eighty".