77190312 has 64 divisors (see below), whose sum is σ = 205128000. Its totient is φ = 24136704.

The previous prime is 77190307. The next prime is 77190317. The reversal of 77190312 is 21309177.

It is an interprime number because it is at equal distance from previous prime (77190307) and next prime (77190317).

It is a self number, because there is not a number n which added to its sum of digits gives 77190312.

It is not an unprimeable number, because it can be changed into a prime (77190317) 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, 48928 + ... + 50480.

It is an arithmetic number, because the mean of its divisors is an integer number (3205125).

Almost surely, 2^77190312 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 77190312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102564000).

77190312 is an abundant number, since it is smaller than the sum of its proper divisors (127937688).

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

77190312 is a wasteful number, since it uses less digits than its factorization.

77190312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 77190312 is about 8785.8017277879. The cubic root of 77190312 is about 425.7822952513.

Adding to 77190312 its reverse (21309177), we get a palindrome (98499489).

The spelling of 77190312 in words is "seventy-seven million, one hundred ninety thousand, three hundred twelve".