746141760 has 672 divisors, whose sum is σ = 3302081280. Its totient is φ = 155271168.

The previous prime is 746141749. The next prime is 746141771. The reversal of 746141760 is 67141647.

It is an interprime number because it is at equal distance from previous prime (746141749) and next prime (746141771).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10221084 + ... + 10221156.

Almost surely, 2^746141760 is an apocalyptic number.

746141760 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 746141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651040640).

746141760 is an abundant number, since it is smaller than the sum of its proper divisors (2555939520).

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

746141760 is a wasteful number, since it uses less digits than its factorization.

746141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 746141760 is about 27315.5955454023. The cubic root of 746141760 is about 906.9996422126. Note that the first 3 decimals are identical.

The spelling of 746141760 in words is "seven hundred forty-six million, one hundred forty-one thousand, seven hundred sixty".