51377680 has 40 divisors (see below), whose sum is σ = 119771352. Its totient is φ = 20496384.

The previous prime is 51377671. The next prime is 51377681. The reversal of 51377680 is 8677315.

51377680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2768896 + 48608784 = 1664^2 + 6972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (51377681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43984 + ... + 45136.

Almost surely, 2^51377680 is an apocalyptic number.

It is an amenable number.

51377680 is an abundant number, since it is smaller than the sum of its proper divisors (68393672).

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

51377680 is a wasteful number, since it uses less digits than its factorization.

51377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 51377680 is about 7167.8225424462. The cubic root of 51377680 is about 371.7561511316.

The spelling of 51377680 in words is "fifty-one million, three hundred seventy-seven thousand, six hundred eighty".