72776880000 has 800 divisors, whose sum is σ = 295534867320. Its totient is φ = 17625600000.

The previous prime is 72776879977. The next prime is 72776880061. The reversal of 72776880000 is 8867727.

It is a tau number, because it is divible by the number of its divisors (800).

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 (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 71279490 + ... + 71280510.

Almost surely, 2^72776880000 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 72776880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147767433660).

72776880000 is an abundant number, since it is smaller than the sum of its proper divisors (222757987320).

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

72776880000 is a wasteful number, since it uses less digits than its factorization.

72776880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 72776880000 in words is "seventy-two billion, seven hundred seventy-six million, eight hundred eighty thousand".