1077827760 has 120 divisors (see below), whose sum is σ = 3717626640. Its totient is φ = 279645696.

The previous prime is 1077827759. The next prime is 1077827767. The reversal of 1077827760 is 677287701.

It is a happy number.

1077827760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1077827767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6411 + ... + 46869.

It is an arithmetic number, because the mean of its divisors is an integer number (30980222).

Almost surely, 2^1077827760 is an apocalyptic number.

1077827760 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 1077827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858813320).

1077827760 is an abundant number, since it is smaller than the sum of its proper divisors (2639798880).

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

1077827760 is a wasteful number, since it uses less digits than its factorization.

1077827760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40515 (or 40506 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The square root of 1077827760 is about 32830.2872360264. The cubic root of 1077827760 is about 1025.2972399897.

The spelling of 1077827760 in words is "one billion, seventy-seven million, eight hundred twenty-seven thousand, seven hundred sixty".