8400770352 has 360 divisors, whose sum is σ = 27652480128. Its totient is φ = 2363904000.

The previous prime is 8400770351. The next prime is 8400770369. The reversal of 8400770352 is 2530770048.

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

It is not an unprimeable number, because it can be changed into a prime (8400770351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20949352 + ... + 20949752.

Almost surely, 2^8400770352 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 8400770352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13826240064).

8400770352 is an abundant number, since it is smaller than the sum of its proper divisors (19251709776).

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

8400770352 is a wasteful number, since it uses less digits than its factorization.

8400770352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 8400770352 is about 91655.7164174717. The cubic root of 8400770352 is about 2032.8548532354.

The spelling of 8400770352 in words is "eight billion, four hundred million, seven hundred seventy thousand, three hundred fifty-two".