77692849920 has 576 divisors, whose sum is σ = 321838755840. Its totient is φ = 17377984512.

The previous prime is 77692849903. The next prime is 77692849951. The reversal of 77692849920 is 2994829677.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11366824 + ... + 11373656.

It is an arithmetic number, because the mean of its divisors is an integer number (558747840).

Almost surely, 2^77692849920 is an apocalyptic number.

77692849920 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 77692849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160919377920).

77692849920 is an abundant number, since it is smaller than the sum of its proper divisors (244145905920).

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

77692849920 is a wasteful number, since it uses less digits than its factorization.

77692849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 77692849920 in words is "seventy-seven billion, six hundred ninety-two million, eight hundred forty-nine thousand, nine hundred twenty".