77311152 has 80 divisors (see below), whose sum is σ = 233616000. Its totient is φ = 24411456.

The previous prime is 77311139. The next prime is 77311159. The reversal of 77311152 is 25111377.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (77311159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3499 + ... + 12917.

It is an arithmetic number, because the mean of its divisors is an integer number (2920200).

Almost surely, 2^77311152 is an apocalyptic number.

77311152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77311152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116808000).

77311152 is an abundant number, since it is smaller than the sum of its proper divisors (156304848).

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

77311152 is a wasteful number, since it uses less digits than its factorization.

77311152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9443 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 77311152 is about 8792.6760431623. The cubic root of 77311152 is about 426.0043641687.

The spelling of 77311152 in words is "seventy-seven million, three hundred eleven thousand, one hundred fifty-two".