7423680 has 224 divisors, whose sum is σ = 27797760. Its totient is φ = 1658880.

The previous prime is 7423673. The next prime is 7423693. The reversal of 7423680 is 863247.

7423680 = T₂₀₅ + T₂₀₆ + ... + T₃₇₅.

It is a super-2 number, since 2×7423680² = 110222049484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200622 + ... + 200658.

Almost surely, 2^7423680 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 7423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

7423680 is an abundant number, since it is smaller than the sum of its proper divisors (20374080).

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

7423680 is a wasteful number, since it uses less digits than its factorization.

7423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7423680 is about 2724.6430958935. The cubic root of 7423680 is about 195.0771555297.

7423680 divided by its sum of digits (30) gives a triangular number (247456 = T₇₀₃).

The spelling of 7423680 in words is "seven million, four hundred twenty-three thousand, six hundred eighty".