77125152 has 96 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 22901760.

The previous prime is 77125129. The next prime is 77125159. The reversal of 77125152 is 25152177.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (77125159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35127 + ... + 37257.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 2^77125152 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 77125152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

77125152 is an abundant number, since it is smaller than the sum of its proper divisors (148525728).

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

77125152 is a wasteful number, since it uses less digits than its factorization.

77125152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 77125152 is about 8782.0926891032. The cubic root of 77125152 is about 425.6624538533.

It can be divided in two parts, 77125 and 152, that added together give a palindrome (77277).

The spelling of 77125152 in words is "seventy-seven million, one hundred twenty-five thousand, one hundred fifty-two".