77679313920 has 1056 divisors, whose sum is σ = 309011189760. Its totient is φ = 17907056640.

The previous prime is 77679313897. The next prime is 77679313927. The reversal of 77679313920 is 2931397677.

It is a happy number.

It is a super-2 number, since 2×77679313920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77679313927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872801236 + ... + 872801324.

Almost surely, 2^77679313920 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 77679313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154505594880).

77679313920 is an abundant number, since it is smaller than the sum of its proper divisors (231331875840).

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

77679313920 is a wasteful number, since it uses less digits than its factorization.

77679313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 77679313920 in words is "seventy-seven billion, six hundred seventy-nine million, three hundred thirteen thousand, nine hundred twenty".