1077765798400 has 240 divisors, whose sum is σ = 2731661412480. Its totient is φ = 421413580800.

The previous prime is 1077765798349. The next prime is 1077765798427. The reversal of 1077765798400 is 48975677701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328933995 + ... + 1328934805.

It is an arithmetic number, because the mean of its divisors is an integer number (11381922552).

Almost surely, 2^{1077765798400} is an apocalyptic number.

1077765798400 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 1077765798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365830706240).

1077765798400 is an abundant number, since it is smaller than the sum of its proper divisors (1653895614080).

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

1077765798400 is an frugal number, since it uses more digits than its factorization.

1077765798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 1077765798400 in words is "one trillion, seventy-seven billion, seven hundred sixty-five million, seven hundred ninety-eight thousand, four hundred".