51776400 has 120 divisors (see below), whose sum is σ = 178669120. Its totient is φ = 12741120.

The previous prime is 51776393. The next prime is 51776401. The reversal of 51776400 is 467715.

It is a happy number.

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

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 (51776401) 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, 13941 + ... + 17259.

Almost surely, 2^51776400 is an apocalyptic number.

51776400 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 51776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89334560).

51776400 is an abundant number, since it is smaller than the sum of its proper divisors (126892720).

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

51776400 is a wasteful number, since it uses less digits than its factorization.

51776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 51776400 is about 7195.5819778528. The cubic root of 51776400 is about 372.7153537551.

The spelling of 51776400 in words is "fifty-one million, seven hundred seventy-six thousand, four hundred".