7882464 has 48 divisors (see below), whose sum is σ = 21143808. Its totient is φ = 2570112.

The previous prime is 7882453. The next prime is 7882471. The reversal of 7882464 is 4642887.

7882464 = T₁₃₁₉ + T₁₃₂₀ + ... + T₁₃₂₇.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7882464² = 124266477422592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3639 + ... + 5385.

It is an arithmetic number, because the mean of its divisors is an integer number (440496).

Almost surely, 2^7882464 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 7882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571904).

7882464 is an abundant number, since it is smaller than the sum of its proper divisors (13261344).

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

7882464 is a wasteful number, since it uses less digits than its factorization.

7882464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 7882464 is about 2807.5726170484. The cubic root of 7882464 is about 199.0156970186.

The spelling of 7882464 in words is "seven million, eight hundred eighty-two thousand, four hundred sixty-four".