749464800 has 216 divisors, whose sum is σ = 2838240216. Its totient is φ = 171279360.

The previous prime is 749464799. The next prime is 749464801. The reversal of 749464800 is 8464947.

It is an interprime number because it is at equal distance from previous prime (749464799) and next prime (749464801).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749464801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114414 + ... + 120786.

It is an arithmetic number, because the mean of its divisors is an integer number (13140001).

Almost surely, 2^749464800 is an apocalyptic number.

749464800 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 749464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419120108).

749464800 is an abundant number, since it is smaller than the sum of its proper divisors (2088775416).

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

749464800 is a wasteful number, since it uses less digits than its factorization.

749464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 749464800 is about 27376.3547609977. The cubic root of 749464800 is about 908.3441287797.

The spelling of 749464800 in words is "seven hundred forty-nine million, four hundred sixty-four thousand, eight hundred".