779401135440 has 400 divisors, whose sum is σ = 2727456407808. Its totient is φ = 207126885888.

The previous prime is 779401135411. The next prime is 779401135511. The reversal of 779401135440 is 44531104977.

It is a happy number.

779401135440 is a `hidden beast` number, since 7 + 7 + 94 + 0 + 1 + 13 + 544 + 0 = 666.

It is a super-4 number, since 4×779401135440⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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, 587340057 + ... + 587341383.

Almost surely, 2^779401135440 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 779401135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363728203904).

779401135440 is an abundant number, since it is smaller than the sum of its proper divisors (1948055272368).

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

779401135440 is an equidigital number, since it uses as much as digits as its factorization.

779401135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 779401135440 in words is "seven hundred seventy-nine billion, four hundred one million, one hundred thirty-five thousand, four hundred forty".