7873380 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 1889280.

The previous prime is 7873379. The next prime is 7873387. The reversal of 7873380 is 833787.

7873380 = T₂₇₀ + T₂₇₁ + ... + T₄₀₅.

It is a super-2 number, since 2×7873380² = 123980225248800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7873387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94819 + ... + 94901.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^7873380 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 7873380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

7873380 is an abundant number, since it is smaller than the sum of its proper divisors (18544284).

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

7873380 is a wasteful number, since it uses less digits than its factorization.

7873380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7873380 is about 2805.9543830932. The cubic root of 7873380 is about 198.9392169774.

The spelling of 7873380 in words is "seven million, eight hundred seventy-three thousand, three hundred eighty".