772617600000 has 792 divisors, whose sum is σ = 2823080092560. Its totient is φ = 203489280000.

The previous prime is 772617599993. The next prime is 772617600037. The reversal of 772617600000 is 6716277.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4003199904 + ... + 4003200096.

Almost surely, 2^772617600000 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 772617600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411540046280).

772617600000 is an abundant number, since it is smaller than the sum of its proper divisors (2050462492560).

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

772617600000 is a wasteful number, since it uses less digits than its factorization.

772617600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 772617600000 in words is "seven hundred seventy-two billion, six hundred seventeen million, six hundred thousand".