7630880400 has 960 divisors, whose sum is σ = 32832065280. Its totient is φ = 1679616000.

The previous prime is 7630880399. The next prime is 7630880401. The reversal of 7630880400 is 40880367.

It is an interprime number because it is at equal distance from previous prime (7630880399) and next prime (7630880401).

It is a super-3 number, since 3×7630880400³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7630880401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125096370 + ... + 125096430.

It is an arithmetic number, because the mean of its divisors is an integer number (34200068).

Almost surely, 2^7630880400 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 7630880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416032640).

7630880400 is an abundant number, since it is smaller than the sum of its proper divisors (25201184880).

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

7630880400 is a wasteful number, since it uses less digits than its factorization.

7630880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

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

The square root of 7630880400 is about 87354.9105660352. The cubic root of 7630880400 is about 1968.7544326431.

The spelling of 7630880400 in words is "seven billion, six hundred thirty million, eight hundred eighty thousand, four hundred".