7380434880 has 1008 divisors, whose sum is σ = 33200949600. Its totient is φ = 1546739712.

The previous prime is 7380434869. The next prime is 7380434891. The reversal of 7380434880 is 884340837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7380434869) and next prime (7380434891).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7380434880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49533046 + ... + 49533194.

It is an arithmetic number, because the mean of its divisors is an integer number (32937450).

Almost surely, 2^7380434880 is an apocalyptic number.

7380434880 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 7380434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600474800).

7380434880 is an abundant number, since it is smaller than the sum of its proper divisors (25820514720).

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

7380434880 is a wasteful number, since it uses less digits than its factorization.

7380434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7380434880 is about 85909.4574537635. The cubic root of 7380434880 is about 1946.9762367085.

The spelling of 7380434880 in words is "seven billion, three hundred eighty million, four hundred thirty-four thousand, eight hundred eighty".