767312640 has 216 divisors, whose sum is σ = 2718315600. Its totient is φ = 199729152.

The previous prime is 767312621. The next prime is 767312657. The reversal of 767312640 is 46213767.

767312640 is a `hidden beast` number, since 7 + 6 + 7 + 3 + 1 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 767312595 and 767312604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494586 + ... + 496134.

Almost surely, 2^767312640 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 767312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359157800).

767312640 is an abundant number, since it is smaller than the sum of its proper divisors (1951002960).

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

767312640 is a wasteful number, since it uses less digits than its factorization.

767312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 767312640 is about 27700.4086612454. The cubic root of 767312640 is about 915.4981073634.

The spelling of 767312640 in words is "seven hundred sixty-seven million, three hundred twelve thousand, six hundred forty".