77124096 has 160 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 22007808.

The previous prime is 77124077. The next prime is 77124101. The reversal of 77124096 is 69042177.

It is a happy number.

77124096 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77124096.

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, 96370 + ... + 97166.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^77124096 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 77124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

77124096 is an abundant number, since it is smaller than the sum of its proper divisors (184109184).

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

77124096 is an equidigital number, since it uses as much as digits as its factorization.

77124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77124096 is about 8782.0325665531. The cubic root of 77124096 is about 425.6605111166.

The spelling of 77124096 in words is "seventy-seven million, one hundred twenty-four thousand, ninety-six".