77197680 has 360 divisors, whose sum is σ = 320684832. Its totient is φ = 16293888.

The previous prime is 77197669. The next prime is 77197699. The reversal of 77197680 is 8679177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1456534 + ... + 1456586.

Almost surely, 2^77197680 is an apocalyptic number.

77197680 is a gapful number since it is divisible by the number (70) 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 77197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342416).

77197680 is an abundant number, since it is smaller than the sum of its proper divisors (243487152).

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

77197680 is a wasteful number, since it uses less digits than its factorization.

77197680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77197680 is about 8786.2210306821. The cubic root of 77197680 is about 425.7958421332.

It can be divided in two parts, 77197 and 680, that added together give a palindrome (77877).

The spelling of 77197680 in words is "seventy-seven million, one hundred ninety-seven thousand, six hundred eighty".