1077400632 has 192 divisors, whose sum is σ = 3512039040. Its totient is φ = 272160000.

The previous prime is 1077400613. The next prime is 1077400637. The reversal of 1077400632 is 2360047701.

It is a self number, because there is not a number n which added to its sum of digits gives 1077400632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077400637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477507 + ... + 479757.

It is an arithmetic number, because the mean of its divisors is an integer number (18291870).

Almost surely, 2^1077400632 is an apocalyptic number.

1077400632 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 1077400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756019520).

1077400632 is an abundant number, since it is smaller than the sum of its proper divisors (2434638408).

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

1077400632 is a wasteful number, since it uses less digits than its factorization.

1077400632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1077400632 is about 32823.7815006132. The cubic root of 1077400632 is about 1025.1617851309.

The spelling of 1077400632 in words is "one billion, seventy-seven million, four hundred thousand, six hundred thirty-two".