736874320 has 160 divisors (see below), whose sum is σ = 2127863808. Its totient is φ = 231081984.

The previous prime is 736874291. The next prime is 736874329. The reversal of 736874320 is 23478637.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736874329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924162 + ... + 924958.

Almost surely, 2^736874320 is an apocalyptic number.

736874320 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 736874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063931904).

736874320 is an abundant number, since it is smaller than the sum of its proper divisors (1390989488).

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

736874320 is a wasteful number, since it uses less digits than its factorization.

736874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 736874320 is about 27145.4290811547. The cubic root of 736874320 is about 903.2288631003.

The spelling of 736874320 in words is "seven hundred thirty-six million, eight hundred seventy-four thousand, three hundred twenty".