746807040 has 540 divisors, whose sum is σ = 3125983224. Its totient is φ = 170698752.

The previous prime is 746806999. The next prime is 746807053. The reversal of 746807040 is 40708647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 746806986 and 746807004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106686717 + ... + 106686723.

Almost surely, 2^746807040 is an apocalyptic number.

746807040 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 746807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562991612).

746807040 is an abundant number, since it is smaller than the sum of its proper divisors (2379176184).

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

746807040 is an frugal number, since it uses more digits than its factorization.

746807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 746807040 is about 27327.7704908395. The cubic root of 746807040 is about 907.2691305344.

The spelling of 746807040 in words is "seven hundred forty-six million, eight hundred seven thousand, forty".