1977672900 has 288 divisors, whose sum is σ = 7151542272. Its totient is φ = 411494400.

The previous prime is 1977672859. The next prime is 1977672901. The reversal of 1977672900 is 92767791.

It is a super-2 number, since 2×1977672900² = 7822380198788820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1977672900.

It is not an unprimeable number, because it can be changed into a prime (1977672901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1105807 + ... + 1107593.

It is an arithmetic number, because the mean of its divisors is an integer number (24831744).

Almost surely, 2^1977672900 is an apocalyptic number.

1977672900 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 1977672900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575771136).

1977672900 is an abundant number, since it is smaller than the sum of its proper divisors (5173869372).

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

1977672900 is a wasteful number, since it uses less digits than its factorization.

1977672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 48.

The square root of 1977672900 is about 44471.0343931868. The cubic root of 1977672900 is about 1255.2150972832.

The spelling of 1977672900 in words is "one billion, nine hundred seventy-seven million, six hundred seventy-two thousand, nine hundred".