752673408 has 64 divisors (see below), whose sum is σ = 2048094720. Its totient is φ = 244766720.

The previous prime is 752673407. The next prime is 752673409. The reversal of 752673408 is 804376257.

It is an interprime number because it is at equal distance from previous prime (752673407) and next prime (752673409).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×752673408² = 1133034518220668928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 752673408.

It is not an unprimeable number, because it can be changed into a prime (752673401) 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 7 ways as a sum of consecutive naturals, for example, 8160 + ... + 39647.

It is an arithmetic number, because the mean of its divisors is an integer number (32001480).

Almost surely, 2^752673408 is an apocalyptic number.

It is an amenable number.

752673408 is an abundant number, since it is smaller than the sum of its proper divisors (1295421312).

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

752673408 is a wasteful number, since it uses less digits than its factorization.

752673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47865 (or 47853 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 752673408 is about 27434.8939855798. The cubic root of 752673408 is about 909.6385506520.

It can be divided in two parts, 75 and 2673408, that multiplied together give a square (200505600 = 14160²).

The spelling of 752673408 in words is "seven hundred fifty-two million, six hundred seventy-three thousand, four hundred eight".