1077242880 has 352 divisors, whose sum is σ = 4046575104. Its totient is φ = 239468544.

The previous prime is 1077242879. The next prime is 1077242891. The reversal of 1077242880 is 882427701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623244 + ... + 4623476.

It is an arithmetic number, because the mean of its divisors is an integer number (11495952).

Almost surely, 2^1077242880 is an apocalyptic number.

1077242880 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 1077242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023287552).

1077242880 is an abundant number, since it is smaller than the sum of its proper divisors (2969332224).

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

1077242880 is a wasteful number, since it uses less digits than its factorization.

1077242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1077242880 is about 32821.3783988424. The cubic root of 1077242880 is about 1025.1117482765. Note that the first 3 decimals are identical.

The spelling of 1077242880 in words is "one billion, seventy-seven million, two hundred forty-two thousand, eight hundred eighty".