1077252480 has 256 divisors, whose sum is σ = 3940300800. Its totient is φ = 277862400.

The previous prime is 1077252479. The next prime is 1077252487. The reversal of 1077252480 is 842527701.

1077252480 is a `hidden beast` number, since 107 + 72 + 5 + 2 + 480 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (1077252487) 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, 534675 + ... + 536685.

It is an arithmetic number, because the mean of its divisors is an integer number (15391800).

Almost surely, 2^1077252480 is an apocalyptic number.

1077252480 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 1077252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970150400).

1077252480 is an abundant number, since it is smaller than the sum of its proper divisors (2863048320).

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

1077252480 is a wasteful number, since it uses less digits than its factorization.

1077252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1077252480 is about 32821.5246446596. The cubic root of 1077252480 is about 1025.1147934095.

The spelling of 1077252480 in words is "one billion, seventy-seven million, two hundred fifty-two thousand, four hundred eighty".