77129440 has 48 divisors (see below), whose sum is σ = 183218112. Its totient is φ = 30682624.

The previous prime is 77129431. The next prime is 77129467. The reversal of 77129440 is 4492177.

It is a junction number, because it is equal to n+sod(n) for n = 77129396 and 77129405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30297 + ... + 32743.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044).

Almost surely, 2^77129440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91609056).

77129440 is an abundant number, since it is smaller than the sum of its proper divisors (106088672).

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

77129440 is a wasteful number, since it uses less digits than its factorization.

77129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 77129440 is about 8782.3368188655. The cubic root of 77129440 is about 425.6703423598.

The spelling of 77129440 in words is "seventy-seven million, one hundred twenty-nine thousand, four hundred forty".