1077623377920 has 1040 divisors, whose sum is σ = 4030459921488. Its totient is φ = 275188285440.

The previous prime is 1077623377813. The next prime is 1077623377921. The reversal of 1077623377920 is 297733267701.

1077623377920 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 623 + 3 + 7 + 7 + 9 + 2 + 0 = 666.

1077623377920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 46407499776 + 1031215878144 = 215424^2 + 1015488^2 .

It is a super-2 number, since 2×1077623377920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077623377921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5953720230 + ... + 5953720410.

Almost surely, 2^{1077623377920} is an apocalyptic number.

1077623377920 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 1077623377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015229960744).

1077623377920 is an abundant number, since it is smaller than the sum of its proper divisors (2952836543568).

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

1077623377920 is an equidigital number, since it uses as much as digits as its factorization.

1077623377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 1077623377920 in words is "one trillion, seventy-seven billion, six hundred twenty-three million, three hundred seventy-seven thousand, nine hundred twenty".