7380321900 has 288 divisors, whose sum is σ = 25553031168. Its totient is φ = 1609113600.

The previous prime is 7380321889. The next prime is 7380321913. The reversal of 7380321900 is 91230837.

It is a super-2 number, since 2×7380321900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4751524 + ... + 4753076.

Almost surely, 2^7380321900 is an apocalyptic number.

7380321900 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 7380321900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776515584).

7380321900 is an abundant number, since it is smaller than the sum of its proper divisors (18172709268).

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

7380321900 is a wasteful number, since it uses less digits than its factorization.

7380321900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7380321900 is about 85908.7998984970. The cubic root of 7380321900 is about 1946.9663018604.

It can be divided in two parts, 73803 and 21900, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 7380321900 in words is "seven billion, three hundred eighty million, three hundred twenty-one thousand, nine hundred".