1077696000 has 240 divisors, whose sum is σ = 3883733568. Its totient is φ = 287232000.

The previous prime is 1077695951. The next prime is 1077696023. The reversal of 1077696000 is 6967701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1077696000² = 2322857336832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575065 + ... + 576935.

Almost surely, 2^1077696000 is an apocalyptic number.

1077696000 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 1077696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941866784).

1077696000 is an abundant number, since it is smaller than the sum of its proper divisors (2806037568).

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

1077696000 is an equidigital number, since it uses as much as digits as its factorization.

1077696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1077696000 is about 32828.2804910644. The cubic root of 1077696000 is about 1025.2554588336.

The spelling of 1077696000 in words is "one billion, seventy-seven million, six hundred ninety-six thousand".