77016923280 has 480 divisors, whose sum is σ = 299122104960. Its totient is φ = 18063129600.

The previous prime is 77016923219. The next prime is 77016923297. The reversal of 77016923280 is 8232961077.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22831674 + ... + 22835046.

It is an arithmetic number, because the mean of its divisors is an integer number (623171052).

Almost surely, 2^77016923280 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 77016923280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149561052480).

77016923280 is an abundant number, since it is smaller than the sum of its proper divisors (222105181680).

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

77016923280 is a wasteful number, since it uses less digits than its factorization.

77016923280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77016923280 in words is "seventy-seven billion, sixteen million, nine hundred twenty-three thousand, two hundred eighty".