7834706880 has 896 divisors, whose sum is σ = 34607333376. Its totient is φ = 1448755200.

The previous prime is 7834706863. The next prime is 7834706881. The reversal of 7834706880 is 886074387.

It is a super-2 number, since 2×7834706880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7834706881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29789629 + ... + 29789891.

It is an arithmetic number, because the mean of its divisors is an integer number (38624256).

Almost surely, 2^7834706880 is an apocalyptic number.

7834706880 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 7834706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303666688).

7834706880 is an abundant number, since it is smaller than the sum of its proper divisors (26772626496).

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

7834706880 is a wasteful number, since it uses less digits than its factorization.

7834706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 7834706880 is about 88513.8795895875. The cubic root of 7834706880 is about 1986.1296017341.

The spelling of 7834706880 in words is "seven billion, eight hundred thirty-four million, seven hundred six thousand, eight hundred eighty".