7834080 has 96 divisors (see below), whose sum is σ = 26006400. Its totient is φ = 1976832.

The previous prime is 7834051. The next prime is 7834091. The reversal of 7834080 is 804387.

7834080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7834080² = 122745618892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8691 + ... + 9549.

It is an arithmetic number, because the mean of its divisors is an integer number (270900).

Almost surely, 2^7834080 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 7834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003200).

7834080 is an abundant number, since it is smaller than the sum of its proper divisors (18172320).

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

7834080 is a wasteful number, since it uses less digits than its factorization.

7834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7834080 is about 2798.9426575048. The cubic root of 7834080 is about 198.6076628124.

The spelling of 7834080 in words is "seven million, eight hundred thirty-four thousand, eighty".