766878840 has 672 divisors, whose sum is σ = 3382354080. Its totient is φ = 152285184.

The previous prime is 766878829. The next prime is 766878841. The reversal of 766878840 is 48878667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766878841) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 45110512 + ... + 45110528.

It is an arithmetic number, because the mean of its divisors is an integer number (5033265).

Almost surely, 2^766878840 is an apocalyptic number.

766878840 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 766878840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691177040).

766878840 is an abundant number, since it is smaller than the sum of its proper divisors (2615475240).

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

766878840 is a wasteful number, since it uses less digits than its factorization.

766878840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 766878840 is about 27692.5773448410. The cubic root of 766878840 is about 915.3255493023.

The spelling of 766878840 in words is "seven hundred sixty-six million, eight hundred seventy-eight thousand, eight hundred forty".