1077000408 has 128 divisors (see below), whose sum is σ = 3435552000. Its totient is φ = 309173760.

The previous prime is 1077000383. The next prime is 1077000451. The reversal of 1077000408 is 8040007701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33216 + ... + 57072.

It is an arithmetic number, because the mean of its divisors is an integer number (26840250).

Almost surely, 2^1077000408 is an apocalyptic number.

1077000408 is a gapful number since it is divisible by the number (18) 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 1077000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717776000).

1077000408 is an abundant number, since it is smaller than the sum of its proper divisors (2358551592).

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

1077000408 is a wasteful number, since it uses less digits than its factorization.

1077000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23902 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1077000408 is about 32817.6843790052. The cubic root of 1077000408 is about 1025.0348298297.

The spelling of 1077000408 in words is "one billion, seventy-seven million, four hundred eight", and thus it is an aban number.