20772480 has 128 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 5345280.

The previous prime is 20772469. The next prime is 20772481. The reversal of 20772480 is 8427702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20772481) 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, 59346 + ... + 59694.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 2^20772480 is an apocalyptic number.

20772480 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 20772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

20772480 is an abundant number, since it is smaller than the sum of its proper divisors (47771520).

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

20772480 is a wasteful number, since it uses less digits than its factorization.

20772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 20772480 is about 4557.6836221923. The cubic root of 20772480 is about 274.8924317586.

The spelling of 20772480 in words is "twenty million, seven hundred seventy-two thousand, four hundred eighty".