7416080 has 160 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2211840.

The previous prime is 7416049. The next prime is 7416091. The reversal of 7416080 is 806147.

7416080 = T₁₂₁ + T₁₂₂ + ... + T₃₅₈.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180860 + ... + 180900.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^7416080 is an apocalyptic number.

7416080 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 7416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

7416080 is an abundant number, since it is smaller than the sum of its proper divisors (15082480).

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

7416080 is a wasteful number, since it uses less digits than its factorization.

7416080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 7416080 is about 2723.2480606805. The cubic root of 7416080 is about 195.0105626538.

The spelling of 7416080 in words is "seven million, four hundred sixteen thousand, eighty".