9977877000 has 1024 divisors, whose sum is σ = 44281036800. Its totient is φ = 2021760000.

The previous prime is 9977876983. The next prime is 9977877001. The reversal of 9977877000 is 7787799.

It is a super-3 number, since 3×9977877000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9977877001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76166935 + ... + 76167065.

It is an arithmetic number, because the mean of its divisors is an integer number (43243200).

Almost surely, 2^9977877000 is an apocalyptic number.

9977877000 is a gapful number since it is divisible by the number (90) 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 9977877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

9977877000 is an abundant number, since it is smaller than the sum of its proper divisors (34303159800).

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

9977877000 is a wasteful number, since it uses less digits than its factorization.

9977877000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 54.

The square root of 9977877000 is about 99889.3237538427. The cubic root of 9977877000 is about 2152.8447650362.

The spelling of 9977877000 in words is "nine billion, nine hundred seventy-seven million, eight hundred seventy-seven thousand".