77138985 has 128 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 30293760.

The previous prime is 77138983. The next prime is 77139061. The reversal of 77138985 is 58983177.

It is not a de Polignac number, because 77138985 - 2¹ = 77138983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77138983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1641232 + ... + 1641278.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^77138985 is an apocalyptic number.

It is an amenable number.

77138985 is an abundant number, since it is smaller than the sum of its proper divisors (88749015).

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

77138985 is a wasteful number, since it uses less digits than its factorization.

77138985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 77138985 is about 8782.8802223416. The cubic root of 77138985 is about 425.6879009635.

The spelling of 77138985 in words is "seventy-seven million, one hundred thirty-eight thousand, nine hundred eighty-five".