76377040 has 20 divisors (see below), whose sum is σ = 177576804. Its totient is φ = 30550784.

The previous prime is 76377031. The next prime is 76377047. The reversal of 76377040 is 4077367.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 24364096 = 7212^2 + 4936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 76376987 and 76377005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76377047) 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 3 ways as a sum of consecutive naturals, for example, 477277 + ... + 477436.

Almost surely, 2^76377040 is an apocalyptic number.

It is an amenable number.

76377040 is an abundant number, since it is smaller than the sum of its proper divisors (101199764).

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

76377040 is a wasteful number, since it uses less digits than its factorization.

76377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954726 (or 954720 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 76377040 is about 8739.3958601267. The cubic root of 76377040 is about 424.2816747070.

The spelling of 76377040 in words is "seventy-six million, three hundred seventy-seven thousand, forty".