1077426000 has 480 divisors, whose sum is σ = 4562707968. Its totient is φ = 231321600.

The previous prime is 1077425957. The next prime is 1077426001. The reversal of 1077426000 is 6247701.

1077426000 is a `hidden beast` number, since 10 + 7 + 7 + 42 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077426001) 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 95 ways as a sum of consecutive naturals, for example, 2141749 + ... + 2142251.

Almost surely, 2^1077426000 is an apocalyptic number.

1077426000 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 1077426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281353984).

1077426000 is an abundant number, since it is smaller than the sum of its proper divisors (3485281968).

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

1077426000 is a wasteful number, since it uses less digits than its factorization.

1077426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1077426000 is about 32824.1679254783. The cubic root of 1077426000 is about 1025.1698310701.

The spelling of 1077426000 in words is "one billion, seventy-seven million, four hundred twenty-six thousand".