1077446320600 has 384 divisors, whose sum is σ = 2974309632000. Its totient is φ = 359563438080.

The previous prime is 1077446320543. The next prime is 1077446320649. The reversal of 1077446320600 is 60236447701.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 81500791 + ... + 81514009.

It is an arithmetic number, because the mean of its divisors is an integer number (7745598000).

Almost surely, 2^{1077446320600} is an apocalyptic number.

1077446320600 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 1077446320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487154816000).

1077446320600 is an abundant number, since it is smaller than the sum of its proper divisors (1896863311400).

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

1077446320600 is a wasteful number, since it uses less digits than its factorization.

1077446320600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 1077446320600 in words is "one trillion, seventy-seven billion, four hundred forty-six million, three hundred twenty thousand, six hundred".