1977133872 has 80 divisors (see below), whose sum is σ = 6025582592. Its totient is φ = 546670080.

The previous prime is 1977133867. The next prime is 1977133877. The reversal of 1977133872 is 2783317791.

1977133872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1977133867) and next prime (1977133877).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1977133877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84493 + ... + 105324.

Almost surely, 2^1977133872 is an apocalyptic number.

1977133872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1977133872 is an abundant number, since it is smaller than the sum of its proper divisors (4048448720).

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

1977133872 is a wasteful number, since it uses less digits than its factorization.

1977133872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189866 (or 189860 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The square root of 1977133872 is about 44464.9735409794. The cubic root of 1977133872 is about 1255.1010478259.

The spelling of 1977133872 in words is "one billion, nine hundred seventy-seven million, one hundred thirty-three thousand, eight hundred seventy-two".