1977607104 has 112 divisors (see below), whose sum is σ = 5726582400. Its totient is φ = 597335040.

The previous prime is 1977607081. The next prime is 1977607187. The reversal of 1977607104 is 4017067791.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735747 + ... + 738429.

It is an arithmetic number, because the mean of its divisors is an integer number (51130200).

Almost surely, 2^1977607104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863291200).

1977607104 is an abundant number, since it is smaller than the sum of its proper divisors (3748975296).

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

1977607104 is a wasteful number, since it uses less digits than its factorization.

1977607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 1977607104 is about 44470.2946246143. The cubic root of 1977607104 is about 1255.2011770425.

The spelling of 1977607104 in words is "one billion, nine hundred seventy-seven million, six hundred seven thousand, one hundred four".