20770800 has 120 divisors (see below), whose sum is σ = 70114560. Its totient is φ = 5241600.

The previous prime is 20770777. The next prime is 20770807. The reversal of 20770800 is 807702.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20770800² = 862852265280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20770807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22345 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 2^20770800 is an apocalyptic number.

20770800 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 20770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35057280).

20770800 is an abundant number, since it is smaller than the sum of its proper divisors (49343760).

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

20770800 is a wasteful number, since it uses less digits than its factorization.

20770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 20770800 is about 4557.4993143170. The cubic root of 20770800 is about 274.8850208037.

The spelling of 20770800 in words is "twenty million, seven hundred seventy thousand, eight hundred".