7801466400 has 1152 divisors, whose sum is σ = 35872704000. Its totient is φ = 1646023680.

The previous prime is 7801466389. The next prime is 7801466423. The reversal of 7801466400 is 46641087.

7801466400 is a `hidden beast` number, since 7 + 8 + 0 + 1 + 4 + 6 + 640 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 600112794 + ... + 600112806.

It is an arithmetic number, because the mean of its divisors is an integer number (31139500).

Almost surely, 2^7801466400 is an apocalyptic number.

7801466400 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 7801466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936352000).

7801466400 is an abundant number, since it is smaller than the sum of its proper divisors (28071237600).

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

7801466400 is an equidigital number, since it uses as much as digits as its factorization.

7801466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

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

The square root of 7801466400 is about 88325.9101283423. The cubic root of 7801466400 is about 1983.3167549556.

The spelling of 7801466400 in words is "seven billion, eight hundred one million, four hundred sixty-six thousand, four hundred".