736772400 has 540 divisors, whose sum is σ = 3182416848. Its totient is φ = 154552320.

The previous prime is 736772389. The next prime is 736772411. The reversal of 736772400 is 4277637.

It is an interprime number because it is at equal distance from previous prime (736772389) and next prime (736772411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4258714 + ... + 4258886.

Almost surely, 2^736772400 is an apocalyptic number.

736772400 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 736772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591208424).

736772400 is an abundant number, since it is smaller than the sum of its proper divisors (2445644448).

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

736772400 is a wasteful number, since it uses less digits than its factorization.

736772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 736772400 is about 27143.5517204363. The cubic root of 736772400 is about 903.1872181287.

The spelling of 736772400 in words is "seven hundred thirty-six million, seven hundred seventy-two thousand, four hundred".