51807700 has 108 divisors (see below), whose sum is σ = 133337820. Its totient is φ = 17418240.

The previous prime is 51807697. The next prime is 51807703. The reversal of 51807700 is 770815.

51807700 = 216³ + 217³ + ... + 220³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51807697) and next prime (51807703).

It can be written as a sum of positive squares in 6 ways, for example, as 226576 + 51581124 = 476^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51807703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475246 + ... + 475354.

Almost surely, 2^51807700 is an apocalyptic number.

51807700 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 51807700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66668910).

51807700 is an abundant number, since it is smaller than the sum of its proper divisors (81530120).

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

51807700 is a wasteful number, since it uses less digits than its factorization.

51807700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

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

The square root of 51807700 is about 7197.7565949398. The cubic root of 51807700 is about 372.7904435681.

It can be divided in two parts, 5180 and 7700, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 51807700 in words is "fifty-one million, eight hundred seven thousand, seven hundred".