8132777920 has 112 divisors (see below), whose sum is σ = 20590459200. Its totient is φ = 3052814336.

The previous prime is 8132777911. The next prime is 8132777959. The reversal of 8132777920 is 297772318.

It is a happy number.

It is a super-2 number, since 2×8132777920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 379656 + ... + 400504.

Almost surely, 2^8132777920 is an apocalyptic number.

8132777920 is a gapful number since it is divisible by the number (80) 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 8132777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10295229600).

8132777920 is an abundant number, since it is smaller than the sum of its proper divisors (12457681280).

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

8132777920 is a wasteful number, since it uses less digits than its factorization.

8132777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20942 (or 20932 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 8132777920 is about 90181.9157037596. The cubic root of 8132777920 is about 2011.0041697479.

The spelling of 8132777920 in words is "eight billion, one hundred thirty-two million, seven hundred seventy-seven thousand, nine hundred twenty".