7534000820 has 48 divisors (see below), whose sum is σ = 15900648960. Its totient is φ = 2998550016.

The previous prime is 7534000781. The next prime is 7534000847. The reversal of 7534000820 is 280004357.

It is a happy number.

It is a super-2 number, since 2×7534000820² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 4008641 + ... + 4010519.

It is an arithmetic number, because the mean of its divisors is an integer number (331263520).

Almost surely, 2^7534000820 is an apocalyptic number.

It is an amenable number.

7534000820 is an abundant number, since it is smaller than the sum of its proper divisors (8366648140).

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

7534000820 is a wasteful number, since it uses less digits than its factorization.

7534000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 7534000820 is about 86798.6222240883. The cubic root of 7534000820 is about 1960.3873332104.

The spelling of 7534000820 in words is "seven billion, five hundred thirty-four million, eight hundred twenty", and thus it is an aban number.