770970009600 has 1440 divisors, whose sum is σ = 3385706634240. Its totient is φ = 168170618880.

The previous prime is 770970009599. The next prime is 770970009611. The reversal of 770970009600 is 6900079077.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×770970009600³ (a number of 37 digits) contains 333 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, 1780530984 + ... + 1780531416.

Almost surely, 2^770970009600 is an apocalyptic number.

770970009600 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 770970009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692853317120).

770970009600 is an abundant number, since it is smaller than the sum of its proper divisors (2614736624640).

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

770970009600 is a wasteful number, since it uses less digits than its factorization.

770970009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 770970009600 in words is "seven hundred seventy billion, nine hundred seventy million, nine thousand, six hundred".