51778000 has 40 divisors (see below), whose sum is σ = 125204040. Its totient is φ = 20710400.

The previous prime is 51777961. The next prime is 51778003. The reversal of 51778000 is 87715.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 51494976 = 532^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×51778000² = 5361922568000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51778000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51778003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10945 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (3130101).

Almost surely, 2^51778000 is an apocalyptic number.

51778000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51778000 is an abundant number, since it is smaller than the sum of its proper divisors (73426040).

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

51778000 is a wasteful number, since it uses less digits than its factorization.

51778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25912 (or 25896 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 51778000 is about 7195.6931563262. The cubic root of 51778000 is about 372.7191929458.

The spelling of 51778000 in words is "fifty-one million, seven hundred seventy-eight thousand".