746867200 has 240 divisors, whose sum is σ = 2024557920. Its totient is φ = 272056320.

The previous prime is 746867167. The next prime is 746867203. The reversal of 746867200 is 2768647.

It is a super-2 number, since 2×746867200² = 1115621228871680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (746867203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8998359 + ... + 8998441.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^746867200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012278960).

746867200 is an abundant number, since it is smaller than the sum of its proper divisors (1277690720).

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

746867200 is a wasteful number, since it uses less digits than its factorization.

746867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 746867200 is about 27328.8711804934. The cubic root of 746867200 is about 907.2934919569.

The spelling of 746867200 in words is "seven hundred forty-six million, eight hundred sixty-seven thousand, two hundred".