746156880 has 320 divisors, whose sum is σ = 2989094400. Its totient is φ = 167546880.

The previous prime is 746156867. The next prime is 746156881. The reversal of 746156880 is 88651647.

It is a happy number.

746156880 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 568 + 80 = 666.

746156880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746156881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 921916 + ... + 922724.

It is an arithmetic number, because the mean of its divisors is an integer number (9340920).

Almost surely, 2^746156880 is an apocalyptic number.

746156880 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 746156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494547200).

746156880 is an abundant number, since it is smaller than the sum of its proper divisors (2242937520).

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

746156880 is a wasteful number, since it uses less digits than its factorization.

746156880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 746156880 is about 27315.8723089708. The cubic root of 746156880 is about 907.0057687258.

The spelling of 746156880 in words is "seven hundred forty-six million, one hundred fifty-six thousand, eight hundred eighty".