77142912 has 128 divisors (see below), whose sum is σ = 255571200. Its totient is φ = 20029440.

The previous prime is 77142899. The next prime is 77142937. The reversal of 77142912 is 21924177.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28264 + ... + 30872.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 2^77142912 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 77142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

77142912 is an abundant number, since it is smaller than the sum of its proper divisors (178428288).

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

77142912 is a wasteful number, since it uses less digits than its factorization.

77142912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2632 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 77142912 is about 8783.1037794165. The cubic root of 77142912 is about 425.6951244966.

The spelling of 77142912 in words is "seventy-seven million, one hundred forty-two thousand, nine hundred twelve".