1977696000 has 720 divisors, whose sum is σ = 8488159680. Its totient is φ = 447897600.

The previous prime is 1977695987. The next prime is 1977696001. The reversal of 1977696000 is 6967791.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1977696000² = 7822562936832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977696001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18143946 + ... + 18144054.

Almost surely, 2^1977696000 is an apocalyptic number.

1977696000 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 1977696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244079840).

1977696000 is an abundant number, since it is smaller than the sum of its proper divisors (6510463680).

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

1977696000 is an equidigital number, since it uses as much as digits as its factorization.

1977696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1977696000 is about 44471.2941120449. The cubic root of 1977696000 is about 1255.2199844001.

The spelling of 1977696000 in words is "one billion, nine hundred seventy-seven million, six hundred ninety-six thousand".