786320040 has 256 divisors, whose sum is σ = 2770744320. Its totient is φ = 176394240.

The previous prime is 786320009. The next prime is 786320071. The reversal of 786320040 is 40023687.

It is an interprime number because it is at equal distance from previous prime (786320009) and next prime (786320071).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1503219 + ... + 1503741.

It is an arithmetic number, because the mean of its divisors is an integer number (10823220).

Almost surely, 2^786320040 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 786320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385372160).

786320040 is an abundant number, since it is smaller than the sum of its proper divisors (1984424280).

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

786320040 is a wasteful number, since it uses less digits than its factorization.

786320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 786320040 is about 28041.3986812356. The cubic root of 786320040 is about 922.9959202210.

The spelling of 786320040 in words is "seven hundred eighty-six million, three hundred twenty thousand, forty".