77128040 has 32 divisors (see below), whose sum is σ = 189315360. Its totient is φ = 28046400.

The previous prime is 77128027. The next prime is 77128043. The reversal of 77128040 is 4082177.

It is a junction number, because it is equal to n+sod(n) for n = 77127994 and 77128012.

It is not an unprimeable number, because it can be changed into a prime (77128043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87206 + ... + 88085.

It is an arithmetic number, because the mean of its divisors is an integer number (5916105).

Almost surely, 2^77128040 is an apocalyptic number.

It is an amenable number.

77128040 is an abundant number, since it is smaller than the sum of its proper divisors (112187320).

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

77128040 is a wasteful number, since it uses less digits than its factorization.

77128040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175313 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 77128040 is about 8782.2571130661. The cubic root of 77128040 is about 425.6677668534.

The spelling of 77128040 in words is "seventy-seven million, one hundred twenty-eight thousand, forty".