787181220 has 384 divisors, whose sum is σ = 2980454400. Its totient is φ = 168666624.

The previous prime is 787181207. The next prime is 787181231. The reversal of 787181220 is 22181787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4713577 + ... + 4713743.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^787181220 is an apocalyptic number.

787181220 is a gapful number since it is divisible by the number (70) 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 787181220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

787181220 is an abundant number, since it is smaller than the sum of its proper divisors (2193273180).

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

787181220 is a wasteful number, since it uses less digits than its factorization.

787181220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 787181220 is about 28056.7499899757. The cubic root of 787181220 is about 923.3327532249.

The spelling of 787181220 in words is "seven hundred eighty-seven million, one hundred eighty-one thousand, two hundred twenty".