807149952 has 288 divisors, whose sum is σ = 2751184800. Its totient is φ = 226437120.

The previous prime is 807149933. The next prime is 807149957. The reversal of 807149952 is 259941708.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 807149898 and 807149907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807149957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4459302 + ... + 4459482.

It is an arithmetic number, because the mean of its divisors is an integer number (9552725).

Almost surely, 2^807149952 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 807149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375592400).

807149952 is an abundant number, since it is smaller than the sum of its proper divisors (1944034848).

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

807149952 is a wasteful number, since it uses less digits than its factorization.

807149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 807149952 is about 28410.3845802904. The cubic root of 807149952 is about 931.0751630575.

The spelling of 807149952 in words is "eight hundred seven million, one hundred forty-nine thousand, nine hundred fifty-two".