7082942400 has 336 divisors, whose sum is σ = 26043412480. Its totient is φ = 1872460800.

The previous prime is 7082942381. The next prime is 7082942479. The reversal of 7082942400 is 42492807.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5485755 + ... + 5487045.

Almost surely, 2^7082942400 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 7082942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021706240).

7082942400 is an abundant number, since it is smaller than the sum of its proper divisors (18960470080).

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

7082942400 is a wasteful number, since it uses less digits than its factorization.

7082942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7082942400 is about 84160.2186308947. The cubic root of 7082942400 is about 1920.4569225027.

The spelling of 7082942400 in words is "seven billion, eighty-two million, nine hundred forty-two thousand, four hundred".