196777680 has 160 divisors (see below), whose sum is σ = 700669440. Its totient is φ = 45181440.

The previous prime is 196777667. The next prime is 196777687. The reversal of 196777680 is 86777691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196777687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48199 + ... + 52121.

It is an arithmetic number, because the mean of its divisors is an integer number (4379184).

Almost surely, 2^196777680 is an apocalyptic number.

196777680 is a gapful number since it is divisible by the number (10) 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 196777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350334720).

196777680 is an abundant number, since it is smaller than the sum of its proper divisors (503891760).

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

196777680 is a wasteful number, since it uses less digits than its factorization.

196777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 51.

The square root of 196777680 is about 14027.7467898448. The cubic root of 196777680 is about 581.6458208070.

The spelling of 196777680 in words is "one hundred ninety-six million, seven hundred seventy-seven thousand, six hundred eighty".