7742876400 has 960 divisors, whose sum is σ = 33861642240. Its totient is φ = 1642291200.

The previous prime is 7742876381. The next prime is 7742876501. The reversal of 7742876400 is 46782477.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106066764 + ... + 106066836.

It is an arithmetic number, because the mean of its divisors is an integer number (35272544).

Almost surely, 2^7742876400 is an apocalyptic number.

7742876400 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 7742876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930821120).

7742876400 is an abundant number, since it is smaller than the sum of its proper divisors (26118765840).

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

7742876400 is a wasteful number, since it uses less digits than its factorization.

7742876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 7742876400 is about 87993.6156775024. The cubic root of 7742876400 is about 1978.3392869990.

The spelling of 7742876400 in words is "seven billion, seven hundred forty-two million, eight hundred seventy-six thousand, four hundred".