77610312 has 192 divisors, whose sum is σ = 243996480. Its totient is φ = 22954752.

The previous prime is 77610251. The next prime is 77610341. The reversal of 77610312 is 21301677.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935023 + ... + 935105.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^77610312 is an apocalyptic number.

77610312 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 77610312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

77610312 is an abundant number, since it is smaller than the sum of its proper divisors (166386168).

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

77610312 is a wasteful number, since it uses less digits than its factorization.

77610312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77610312 is about 8809.6715035238. The cubic root of 77610312 is about 426.5531398260.

Adding to 77610312 its reverse (21301677), we get a palindrome (98911989).

The spelling of 77610312 in words is "seventy-seven million, six hundred ten thousand, three hundred twelve".