7976016 has 80 divisors (see below), whose sum is σ = 23560000. Its totient is φ = 2581632.

The previous prime is 7975997. The next prime is 7976047. The reversal of 7976016 is 6106797.

7976016 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×7976016³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15735 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (294500).

Almost surely, 2^7976016 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 7976016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780000).

7976016 is an abundant number, since it is smaller than the sum of its proper divisors (15583984).

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

7976016 is a wasteful number, since it uses less digits than its factorization.

7976016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7976016 is about 2824.1841299745. The cubic root of 7976016 is about 199.7999332666.

The spelling of 7976016 in words is "seven million, nine hundred seventy-six thousand, sixteen".