1077382080 has 224 divisors, whose sum is σ = 4001414400. Its totient is φ = 272139264.

The previous prime is 1077382079. The next prime is 1077382087. The reversal of 1077382080 is 802837701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077382087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160879 + ... + 167441.

Almost surely, 2^1077382080 is an apocalyptic number.

1077382080 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 1077382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000707200).

1077382080 is an abundant number, since it is smaller than the sum of its proper divisors (2924032320).

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

1077382080 is a wasteful number, since it uses less digits than its factorization.

1077382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1077382080 is about 32823.4988994166. The cubic root of 1077382080 is about 1025.1559009345.

The spelling of 1077382080 in words is "one billion, seventy-seven million, three hundred eighty-two thousand, eighty".