1077375000 has 336 divisors, whose sum is σ = 3860106840. Its totient is φ = 249600000.

The previous prime is 1077374989. The next prime is 1077375001. The reversal of 1077375000 is 5737701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077375001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 63374992 + ... + 63375008.

Almost surely, 2^1077375000 is an apocalyptic number.

1077375000 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 1077375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930053420).

1077375000 is an abundant number, since it is smaller than the sum of its proper divisors (2782731840).

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

1077375000 is an equidigital number, since it uses as much as digits as its factorization.

1077375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5145, while the sum is 30.

The square root of 1077375000 is about 32823.3910496768. The cubic root of 1077375000 is about 1025.1536553308.

The spelling of 1077375000 in words is "one billion, seventy-seven million, three hundred seventy-five thousand".