51077376 has 108 divisors (see below), whose sum is σ = 168360192. Its totient is φ = 14588928.

The previous prime is 51077363. The next prime is 51077393. The reversal of 51077376 is 67377015.

51077376 is a `hidden beast` number, since 510 + 7 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51077376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14545 + ... + 17711.

Almost surely, 2^51077376 is an apocalyptic number.

51077376 is a gapful number since it is divisible by the number (56) 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 51077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

51077376 is an abundant number, since it is smaller than the sum of its proper divisors (117282816).

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

51077376 is a wasteful number, since it uses less digits than its factorization.

51077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 51077376 is about 7146.8437788999. The cubic root of 51077376 is about 371.0304269066.

The spelling of 51077376 in words is "fifty-one million, seventy-seven thousand, three hundred seventy-six".