1077272040 has 128 divisors (see below), whose sum is σ = 3495260160. Its totient is φ = 264044544.

The previous prime is 1077271981. The next prime is 1077272047. The reversal of 1077272040 is 402727701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1077271989 and 1077272007.

It is not an unprimeable number, because it can be changed into a prime (1077272047) 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, 399577 + ... + 402263.

It is an arithmetic number, because the mean of its divisors is an integer number (27306720).

Almost surely, 2^1077272040 is an apocalyptic number.

1077272040 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 1077272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747630080).

1077272040 is an abundant number, since it is smaller than the sum of its proper divisors (2417988120).

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

1077272040 is a wasteful number, since it uses less digits than its factorization.

1077272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 1077272040 is about 32821.8226184958. The cubic root of 1077272040 is about 1025.1209978120.

Adding to 1077272040 its reverse (402727701), we get a palindrome (1479999741).

The spelling of 1077272040 in words is "one billion, seventy-seven million, two hundred seventy-two thousand, forty".