768837420 has 288 divisors, whose sum is σ = 2674543872. Its totient is φ = 184197888.

The previous prime is 768837409. The next prime is 768837469. The reversal of 768837420 is 24738867.

It is a happy number.

It is a super-2 number, since 2×768837420² = 1182221956784512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716599 + ... + 2716881.

Almost surely, 2^768837420 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 768837420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337271936).

768837420 is an abundant number, since it is smaller than the sum of its proper divisors (1905706452).

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

768837420 is a wasteful number, since it uses less digits than its factorization.

768837420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 768837420 is about 27727.9177003972. The cubic root of 768837420 is about 916.1041226515.

The spelling of 768837420 in words is "seven hundred sixty-eight million, eight hundred thirty-seven thousand, four hundred twenty".