1077795138420 has 672 divisors, whose sum is σ = 4556372486400. Its totient is φ = 206727137280.

The previous prime is 1077795138361. The next prime is 1077795138467. The reversal of 1077795138420 is 248315977701.

1077795138420 is a `hidden beast` number, since 1 + 0 + 77 + 79 + 51 + 38 + 420 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 14557656 + ... + 14631504.

It is an arithmetic number, because the mean of its divisors is an integer number (6780316200).

Almost surely, 2^{1077795138420} is an apocalyptic number.

1077795138420 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 1077795138420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278186243200).

1077795138420 is an abundant number, since it is smaller than the sum of its proper divisors (3478577347980).

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

1077795138420 is a wasteful number, since it uses less digits than its factorization.

1077795138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73907 (or 73890 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1077795138420 in words is "one trillion, seventy-seven billion, seven hundred ninety-five million, one hundred thirty-eight thousand, four hundred twenty".