740813040 has 400 divisors, whose sum is σ = 2959989120. Its totient is φ = 169827840.

The previous prime is 740813023. The next prime is 740813057. The reversal of 740813040 is 40318047.

740813040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (740813023) and next prime (740813057).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 740812995 and 740813013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354047 + ... + 1354593.

Almost surely, 2^740813040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479994560).

740813040 is an abundant number, since it is smaller than the sum of its proper divisors (2219176080).

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

740813040 is a wasteful number, since it uses less digits than its factorization.

740813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 740813040 is about 27217.8808873872. The cubic root of 740813040 is about 904.8353087981.

The spelling of 740813040 in words is "seven hundred forty million, eight hundred thirteen thousand, forty".