51077400 has 192 divisors, whose sum is σ = 176774400. Its totient is φ = 12096000.

The previous prime is 51077399. The next prime is 51077419. The reversal of 51077400 is 477015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468546 + ... + 468654.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^51077400 is an apocalyptic number.

51077400 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 51077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

51077400 is an abundant number, since it is smaller than the sum of its proper divisors (125697000).

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

51077400 is a wasteful number, since it uses less digits than its factorization.

51077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 51077400 is about 7146.8454579626. The cubic root of 51077400 is about 371.0304850193.

The spelling of 51077400 in words is "fifty-one million, seventy-seven thousand, four hundred".