1157977920 has 224 divisors, whose sum is σ = 4088465280. Its totient is φ = 275292160.

The previous prime is 1157977907. The next prime is 1157977927. The reversal of 1157977920 is 297797511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1157977920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157977927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558646 + ... + 560714.

Almost surely, 2^1157977920 is an apocalyptic number.

1157977920 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 1157977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044232640).

1157977920 is an abundant number, since it is smaller than the sum of its proper divisors (2930487360).

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

1157977920 is a wasteful number, since it uses less digits than its factorization.

1157977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 48.

The square root of 1157977920 is about 34029.0746274418. The cubic root of 1157977920 is about 1050.1066921063.

The spelling of 1157977920 in words is "one billion, one hundred fifty-seven million, nine hundred seventy-seven thousand, nine hundred twenty".