756401520 has 80 divisors (see below), whose sum is σ = 2679828480. Its totient is φ = 172891392.

The previous prime is 756401509. The next prime is 756401539. The reversal of 756401520 is 25104657.

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

It is a super-3 number, since 3×756401520³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223440 + ... + 226799.

It is an arithmetic number, because the mean of its divisors is an integer number (33497856).

Almost surely, 2^756401520 is an apocalyptic number.

756401520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

756401520 is an abundant number, since it is smaller than the sum of its proper divisors (1923426960).

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

756401520 is a wasteful number, since it uses less digits than its factorization.

756401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450262 (or 450256 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 756401520 is about 27502.7547711134. The cubic root of 756401520 is about 911.1379396335.

The spelling of 756401520 in words is "seven hundred fifty-six million, four hundred one thousand, five hundred twenty".