756512064 has 336 divisors, whose sum is σ = 2782555776. Its totient is φ = 190771200.

The previous prime is 756512063. The next prime is 756512069. The reversal of 756512064 is 460215657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756512063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1640794 + ... + 1641254.

It is an arithmetic number, because the mean of its divisors is an integer number (8281416).

Almost surely, 2^756512064 is an apocalyptic number.

756512064 is a gapful number since it is divisible by the number (74) 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 756512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391277888).

756512064 is an abundant number, since it is smaller than the sum of its proper divisors (2026043712).

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

756512064 is a wasteful number, since it uses less digits than its factorization.

756512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 756512064 is about 27504.7643872839. The cubic root of 756512064 is about 911.1823234356.

The spelling of 756512064 in words is "seven hundred fifty-six million, five hundred twelve thousand, sixty-four".