22077680 has 80 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 8386560.

The previous prime is 22077667. The next prime is 22077683. The reversal of 22077680 is 8677022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×22077680⁴ (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22077683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173777 + ... + 173903.

Almost surely, 2^22077680 is an apocalyptic number.

22077680 is a gapful number since it is divisible by the number (20) 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 22077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

22077680 is an abundant number, since it is smaller than the sum of its proper divisors (31918864).

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

22077680 is a wasteful number, since it uses less digits than its factorization.

22077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 22077680 is about 4698.6891789094. The cubic root of 22077680 is about 280.5333372087.

The spelling of 22077680 in words is "twenty-two million, seventy-seven thousand, six hundred eighty".