770149711430400 has 1944 divisors, whose sum is σ = 3076111685782800. Its totient is φ = 169182771609600.

The previous prime is 770149711430383. The next prime is 770149711430471. The reversal of 770149711430400 is 4034117941077.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 770149711430400.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 134712208342 + ... + 134712214058.

Almost surely, 2^{770149711430400} is an apocalyptic number.

770149711430400 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 770149711430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538055842891400).

770149711430400 is an abundant number, since it is smaller than the sum of its proper divisors (2305961974352400).

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

770149711430400 is a wasteful number, since it uses less digits than its factorization.

770149711430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 770149711430400 in words is "seven hundred seventy trillion, one hundred forty-nine billion, seven hundred eleven million, four hundred thirty thousand, four hundred".