7804233360 has 400 divisors, whose sum is σ = 33795729792. Its totient is φ = 1621555200.

The previous prime is 7804233343. The next prime is 7804233361. The reversal of 7804233360 is 633324087.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (7804233361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 491140 + ... + 506780.

Almost surely, 2^7804233360 is an apocalyptic number.

7804233360 is a gapful number since it is divisible by the number (70) 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 7804233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897864896).

7804233360 is an abundant number, since it is smaller than the sum of its proper divisors (25991496432).

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

7804233360 is a wasteful number, since it uses less digits than its factorization.

7804233360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15684 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7804233360 is about 88341.5720937770. The cubic root of 7804233360 is about 1983.5512027372.

The spelling of 7804233360 in words is "seven billion, eight hundred four million, two hundred thirty-three thousand, three hundred sixty".