7656040 has 64 divisors (see below), whose sum is σ = 20246400. Its totient is φ = 2550528.

The previous prime is 7656007. The next prime is 7656041. The reversal of 7656040 is 406567.

It is a super-2 number, since 2×7656040² = 117229896963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (7656041) 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 15 ways as a sum of consecutive naturals, for example, 9991 + ... + 10729.

It is an arithmetic number, because the mean of its divisors is an integer number (316350).

Almost surely, 2^7656040 is an apocalyptic number.

7656040 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 7656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10123200).

7656040 is an abundant number, since it is smaller than the sum of its proper divisors (12590360).

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

7656040 is a wasteful number, since it uses less digits than its factorization.

7656040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 7656040 is about 2766.9550050552. The cubic root of 7656040 is about 197.0915770645.

7656040 divided by its sum of digits (28) gives a triangular number (273430 = T₇₃₉).

The spelling of 7656040 in words is "seven million, six hundred fifty-six thousand, forty".