7362878000 has 80 divisors (see below), whose sum is σ = 17826734016. Its totient is φ = 2941299200.

The previous prime is 7362877993. The next prime is 7362878009. The reversal of 7362878000 is 8782637.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7362878009) 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 15 ways as a sum of consecutive naturals, for example, 1904069 + ... + 1907931.

Almost surely, 2^7362878000 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 7362878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913367008).

7362878000 is an abundant number, since it is smaller than the sum of its proper divisors (10463856016).

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

7362878000 is a wasteful number, since it uses less digits than its factorization.

7362878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 7362878000 is about 85807.2141489281. The cubic root of 7362878000 is about 1945.4311620277.

The spelling of 7362878000 in words is "seven billion, three hundred sixty-two million, eight hundred seventy-eight thousand".