50764800 has 132 divisors (see below), whose sum is σ = 168034136. Its totient is φ = 13516800.

The previous prime is 50764781. The next prime is 50764801. The reversal of 50764800 is 846705.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50764801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76470 + ... + 77130.

Almost surely, 2^50764800 is an apocalyptic number.

50764800 is a gapful number since it is divisible by the number (50) 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 50764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84017068).

50764800 is an abundant number, since it is smaller than the sum of its proper divisors (117269336).

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

50764800 is a wasteful number, since it uses less digits than its factorization.

50764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 50764800 is about 7124.9421050279. The cubic root of 50764800 is about 370.2720181317.

The spelling of 50764800 in words is "fifty million, seven hundred sixty-four thousand, eight hundred".