807952320 has 560 divisors, whose sum is σ = 3384182208. Its totient is φ = 179159040.

The previous prime is 807952309. The next prime is 807952331. The reversal of 807952320 is 23259708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (807952309) and next prime (807952331).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11067804 + ... + 11067876.

Almost surely, 2^807952320 is an apocalyptic number.

807952320 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 807952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692091104).

807952320 is an abundant number, since it is smaller than the sum of its proper divisors (2576229888).

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

807952320 is a wasteful number, since it uses less digits than its factorization.

807952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 807952320 is about 28424.5021064574. The cubic root of 807952320 is about 931.3835805557.

It can be divided in two parts, 80 and 7952320, that added together give a square (7952400 = 2820²).

The spelling of 807952320 in words is "eight hundred seven million, nine hundred fifty-two thousand, three hundred twenty".