20077200 has 360 divisors, whose sum is σ = 84414240. Its totient is φ = 4492800.

The previous prime is 20077171. The next prime is 20077217. The reversal of 20077200 is 277002.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1544394 + ... + 1544406.

It is an arithmetic number, because the mean of its divisors is an integer number (234484).

Almost surely, 2^20077200 is an apocalyptic number.

20077200 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 20077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42207120).

20077200 is an abundant number, since it is smaller than the sum of its proper divisors (64337040).

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

20077200 is a wasteful number, since it uses less digits than its factorization.

20077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 20077200 is about 4480.7588642997. The cubic root of 20077200 is about 271.7905683125.

The spelling of 20077200 in words is "twenty million, seventy-seven thousand, two hundred".