1991077920 has 576 divisors, whose sum is σ = 7819628544. Its totient is φ = 457850880.

The previous prime is 1991077919. The next prime is 1991077999. The reversal of 1991077920 is 297701991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27275004 + ... + 27275076.

It is an arithmetic number, because the mean of its divisors is an integer number (13575744).

Almost surely, 2^1991077920 is an apocalyptic number.

1991077920 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 1991077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909814272).

1991077920 is an abundant number, since it is smaller than the sum of its proper divisors (5828550624).

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

1991077920 is a wasteful number, since it uses less digits than its factorization.

1991077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 1991077920 is about 44621.4961649652. The cubic root of 1991077920 is about 1258.0447376212.

The spelling of 1991077920 in words is "one billion, nine hundred ninety-one million, seventy-seven thousand, nine hundred twenty".