50762880 has 192 divisors, whose sum is σ = 200491200. Its totient is φ = 11593728.

The previous prime is 50762869. The next prime is 50762891. The reversal of 50762880 is 8826705.

It is an interprime number because it is at equal distance from previous prime (50762869) and next prime (50762891).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39691 + ... + 40949.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^50762880 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 50762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100245600).

50762880 is an abundant number, since it is smaller than the sum of its proper divisors (149728320).

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

50762880 is a wasteful number, since it uses less digits than its factorization.

50762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 50762880 is about 7124.8073658170. The cubic root of 50762880 is about 370.2673499939.

The spelling of 50762880 in words is "fifty million, seven hundred sixty-two thousand, eight hundred eighty".