8791262400 has 168 divisors, whose sum is σ = 30097073664. Its totient is φ = 2242380800.

The previous prime is 8791262393. The next prime is 8791262429. The reversal of 8791262400 is 42621978.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70585 + ... + 150215.

It is an arithmetic number, because the mean of its divisors is an integer number (179149248).

Almost surely, 2^8791262400 is an apocalyptic number.

8791262400 is a gapful number since it is divisible by the number (80) 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 8791262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048536832).

8791262400 is an abundant number, since it is smaller than the sum of its proper divisors (21305811264).

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

8791262400 is a wasteful number, since it uses less digits than its factorization.

8791262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79679 (or 79664 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8791262400 is about 93761.7320659127. The cubic root of 8791262400 is about 2063.8766977600.

The spelling of 8791262400 in words is "eight billion, seven hundred ninety-one million, two hundred sixty-two thousand, four hundred".