752034640 has 80 divisors (see below), whose sum is σ = 2001871872. Its totient is φ = 257375232.

The previous prime is 752034637. The next prime is 752034643. The reversal of 752034640 is 46430257.

It is an interprime number because it is at equal distance from previous prime (752034637) and next prime (752034643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×752034640³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752034643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 479137 + ... + 480703.

Almost surely, 2^752034640 is an apocalyptic number.

752034640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

752034640 is the 13712-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000935936).

752034640 is an abundant number, since it is smaller than the sum of its proper divisors (1249837232).

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

752034640 is a wasteful number, since it uses less digits than its factorization.

752034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 752034640 is about 27423.2499897441. The cubic root of 752034640 is about 909.3811515193.

Adding to 752034640 its reverse (46430257), we get a palindrome (798464897).

The spelling of 752034640 in words is "seven hundred fifty-two million, thirty-four thousand, six hundred forty".