1977538080 has 288 divisors, whose sum is σ = 7340808384. Its totient is φ = 446121984.

The previous prime is 1977538037. The next prime is 1977538093. The reversal of 1977538080 is 808357791.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1951654 + ... + 1952666.

It is an arithmetic number, because the mean of its divisors is an integer number (25488918).

Almost surely, 2^1977538080 is an apocalyptic number.

1977538080 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 1977538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670404192).

1977538080 is an abundant number, since it is smaller than the sum of its proper divisors (5363270304).

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

1977538080 is a wasteful number, since it uses less digits than its factorization.

1977538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 1977538080 is about 44469.5185492265. The cubic root of 1977538080 is about 1255.1865735327.

The spelling of 1977538080 in words is "one billion, nine hundred seventy-seven million, five hundred thirty-eight thousand, eighty".