77055070400 has 336 divisors, whose sum is σ = 250300979712. Its totient is φ = 22603776000.

The previous prime is 77055070387. The next prime is 77055070429. The reversal of 77055070400 is 407055077.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076005 + ... + 2112795.

It is an arithmetic number, because the mean of its divisors is an integer number (744943392).

Almost surely, 2^77055070400 is an apocalyptic number.

77055070400 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 77055070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125150489856).

77055070400 is an abundant number, since it is smaller than the sum of its proper divisors (173245909312).

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

77055070400 is a wasteful number, since it uses less digits than its factorization.

77055070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36848 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The spelling of 77055070400 in words is "seventy-seven billion, fifty-five million, seventy thousand, four hundred".