51277680 has 120 divisors (see below), whose sum is σ = 173515680. Its totient is φ = 13570560.

The previous prime is 51277679. The next prime is 51277687. The reversal of 51277680 is 8677215.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51277687) 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, 164725 + ... + 165035.

It is an arithmetic number, because the mean of its divisors is an integer number (1445964).

Almost surely, 2^51277680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86757840).

51277680 is an abundant number, since it is smaller than the sum of its proper divisors (122238000).

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

51277680 is a wasteful number, since it uses less digits than its factorization.

51277680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 51277680 is about 7160.8435257308. The cubic root of 51277680 is about 371.5148027459.

The spelling of 51277680 in words is "fifty-one million, two hundred seventy-seven thousand, six hundred eighty".