51877700 has 72 divisors (see below), whose sum is σ = 132199872. Its totient is φ = 17297280.

The previous prime is 51877699. The next prime is 51877729. The reversal of 51877700 is 777815.

51877700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24899 + ... + 26901.

Almost surely, 2^51877700 is an apocalyptic number.

51877700 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 51877700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66099936).

51877700 is an abundant number, since it is smaller than the sum of its proper divisors (80322172).

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

51877700 is a wasteful number, since it uses less digits than its factorization.

51877700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 35.

The square root of 51877700 is about 7202.6175797414. The cubic root of 51877700 is about 372.9582666713.

The spelling of 51877700 in words is "fifty-one million, eight hundred seventy-seven thousand, seven hundred".