1977102000 has 640 divisors, whose sum is σ = 7799500800. Its totient is φ = 476928000.

The previous prime is 1977101969. The next prime is 1977102007. The reversal of 1977102000 is 2017791.

1977102000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977102007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42065977 + ... + 42066023.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^1977102000 is an apocalyptic number.

1977102000 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 1977102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

1977102000 is an abundant number, since it is smaller than the sum of its proper divisors (5822398800).

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

1977102000 is a wasteful number, since it uses less digits than its factorization.

1977102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1977102000 is about 44464.6151450791. The cubic root of 1977102000 is about 1255.0943035860.

Adding to 1977102000 its reverse (2017791), we get a palindrome (1979119791).

The spelling of 1977102000 in words is "one billion, nine hundred seventy-seven million, one hundred two thousand".