1077741072 has 80 divisors (see below), whose sum is σ = 3100426560. Its totient is φ = 358444800.

The previous prime is 1077741037. The next prime is 1077741079. The reversal of 1077741072 is 2701477701.

1077741072 is a `hidden beast` number, since 107 + 77 + 410 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1077741079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209572 + ... + 214652.

It is an arithmetic number, because the mean of its divisors is an integer number (38755332).

Almost surely, 2^1077741072 is an apocalyptic number.

1077741072 is a gapful number since it is divisible by the number (12) 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 1077741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550213280).

1077741072 is an abundant number, since it is smaller than the sum of its proper divisors (2022685488).

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

1077741072 is a wasteful number, since it uses less digits than its factorization.

1077741072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 1077741072 is about 32828.9669651666. The cubic root of 1077741072 is about 1025.2697515686.

The spelling of 1077741072 in words is "one billion, seventy-seven million, seven hundred forty-one thousand, seventy-two".