7542820800 has 504 divisors, whose sum is σ = 28228982912. Its totient is φ = 1907712000.

The previous prime is 7542820793. The next prime is 7542820841. The reversal of 7542820800 is 80282457.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 27230262 + ... + 27230538.

Almost surely, 2^7542820800 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 7542820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114491456).

7542820800 is an abundant number, since it is smaller than the sum of its proper divisors (20686162112).

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

7542820800 is a wasteful number, since it uses less digits than its factorization.

7542820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7542820800 is about 86849.4145057985. The cubic root of 7542820800 is about 1961.1520368770.

The spelling of 7542820800 in words is "seven billion, five hundred forty-two million, eight hundred twenty thousand, eight hundred".