20077680 has 320 divisors, whose sum is σ = 81423360. Its totient is φ = 3981312.

The previous prime is 20077639. The next prime is 20077693. The reversal of 20077680 is 8677002.

It is a super-2 number, since 2×20077680² = 806226468364800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542622 + ... + 542658.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^20077680 is an apocalyptic number.

20077680 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 20077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

20077680 is an abundant number, since it is smaller than the sum of its proper divisors (61345680).

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

20077680 is a wasteful number, since it uses less digits than its factorization.

20077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 20077680 is about 4480.8124263352. The cubic root of 20077680 is about 271.7927342592.

The spelling of 20077680 in words is "twenty million, seventy-seven thousand, six hundred eighty".