807376896 has 240 divisors, whose sum is σ = 2505222720. Its totient is φ = 258785280.

The previous prime is 807376883. The next prime is 807376897. The reversal of 807376896 is 698673708.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807376897) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142450 + ... + 5142606.

It is an arithmetic number, because the mean of its divisors is an integer number (10438428).

Almost surely, 2^807376896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252611360).

807376896 is an abundant number, since it is smaller than the sum of its proper divisors (1697845824).

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

807376896 is a wasteful number, since it uses less digits than its factorization.

807376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 807376896 is about 28414.3783321050. The cubic root of 807376896 is about 931.1624174438.

The spelling of 807376896 in words is "eight hundred seven million, three hundred seventy-six thousand, eight hundred ninety-six".