51802080 has 96 divisors (see below), whose sum is σ = 178028928. Its totient is φ = 12556800.

The previous prime is 51802073. The next prime is 51802087. The reversal of 51802080 is 8020815.

It is an interprime number because it is at equal distance from previous prime (51802073) and next prime (51802087).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 51802080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51802087) 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, 375 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (1854468).

Almost surely, 2^51802080 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 51802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89014464).

51802080 is an abundant number, since it is smaller than the sum of its proper divisors (126226848).

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

51802080 is a wasteful number, since it uses less digits than its factorization.

51802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51802080 is about 7197.3661849318. The cubic root of 51802080 is about 372.7769632164.

Adding to 51802080 its reverse (8020815), we get a palindrome (59822895).

It can be divided in two parts, 5180 and 2080, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 51802080 in words is "fifty-one million, eight hundred two thousand, eighty".