1977580896 has 96 divisors (see below), whose sum is σ = 5547437280. Its totient is φ = 614670336.

The previous prime is 1977580859. The next prime is 1977580901. The reversal of 1977580896 is 6980857791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172330 + ... + 183446.

It is an arithmetic number, because the mean of its divisors is an integer number (57785805).

Almost surely, 2^1977580896 is an apocalyptic number.

1977580896 is a gapful number since it is divisible by the number (16) 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 1977580896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773718640).

1977580896 is an abundant number, since it is smaller than the sum of its proper divisors (3569856384).

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

1977580896 is a wasteful number, since it uses less digits than its factorization.

1977580896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The square root of 1977580896 is about 44469.9999550259. Note that the first 4 decimals coincide. The cubic root of 1977580896 is about 1255.1956322172.

The spelling of 1977580896 in words is "one billion, nine hundred seventy-seven million, five hundred eighty thousand, eight hundred ninety-six".