77361312 has 192 divisors, whose sum is σ = 250629120. Its totient is φ = 20404224.

The previous prime is 77361307. The next prime is 77361329. The reversal of 77361312 is 21316377.

It is a super-2 number, since 2×77361312² = 11969545188722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77361312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932023 + ... + 932105.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^77361312 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 77361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

77361312 is an abundant number, since it is smaller than the sum of its proper divisors (173267808).

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

77361312 is a wasteful number, since it uses less digits than its factorization.

77361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 77361312 is about 8795.5279545915. The cubic root of 77361312 is about 426.0964757581.

Adding to 77361312 its reverse (21316377), we get a palindrome (98677689).

The spelling of 77361312 in words is "seventy-seven million, three hundred sixty-one thousand, three hundred twelve".