7820064 has 120 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 2229120.

The previous prime is 7820063. The next prime is 7820083. The reversal of 7820064 is 4600287.

7820064 = T₄₆₂ + T₄₆₃ + ... + T₅₂₅.

It is a super-2 number, since 2×7820064² = 122306801928192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7820063) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 17929 + ... + 18359.

Almost surely, 2^7820064 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 7820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

7820064 is an abundant number, since it is smaller than the sum of its proper divisors (18525024).

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

7820064 is a wasteful number, since it uses less digits than its factorization.

7820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7820064 is about 2796.4377339751. The cubic root of 7820064 is about 198.4891487151.

The spelling of 7820064 in words is "seven million, eight hundred twenty thousand, sixty-four".