7948080 has 240 divisors, whose sum is σ = 32497920. Its totient is φ = 1700352.

The previous prime is 7948079. The next prime is 7948091. The reversal of 7948080 is 808497.

7948080 = T₁₈₉ + T₁₉₀ + ... + T₃₇₈.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95719 + ... + 95801.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^7948080 is an apocalyptic number.

7948080 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 7948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

7948080 is an abundant number, since it is smaller than the sum of its proper divisors (24549840).

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

7948080 is a wasteful number, since it uses less digits than its factorization.

7948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7948080 is about 2819.2339385017. The cubic root of 7948080 is about 199.5663939416.

7948080 divided by its sum of digits (36) gives a triangular number (220780 = T₆₆₄).

The spelling of 7948080 in words is "seven million, nine hundred forty-eight thousand, eighty".