748792800 has 432 divisors, whose sum is σ = 3071053440. Its totient is φ = 168145920.

The previous prime is 748792753. The next prime is 748792801. The reversal of 748792800 is 8297847.

748792800 is a `hidden beast` number, since 7 + 487 + 92 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748792801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4183111 + ... + 4183289.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^748792800 is an apocalyptic number.

748792800 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 748792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

748792800 is an abundant number, since it is smaller than the sum of its proper divisors (2322260640).

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

748792800 is a wasteful number, since it uses less digits than its factorization.

748792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 748792800 is about 27364.0786433602. The cubic root of 748792800 is about 908.0725617521.

The spelling of 748792800 in words is "seven hundred forty-eight million, seven hundred ninety-two thousand, eight hundred".