8010387840 has 768 divisors, whose sum is σ = 33427537920. Its totient is φ = 1588543488.

The previous prime is 8010387823. The next prime is 8010387863. The reversal of 8010387840 is 487830108.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 63073857 + ... + 63073983.

It is an arithmetic number, because the mean of its divisors is an integer number (43525440).

Almost surely, 2^8010387840 is an apocalyptic number.

8010387840 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 8010387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713768960).

8010387840 is an abundant number, since it is smaller than the sum of its proper divisors (25417150080).

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

8010387840 is a wasteful number, since it uses less digits than its factorization.

8010387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 8010387840 is about 89500.7700525532. The cubic root of 8010387840 is about 2000.8652789255.

The spelling of 8010387840 in words is "eight billion, ten million, three hundred eighty-seven thousand, eight hundred forty".