977090150400 has 1536 divisors, whose sum is σ = 4226736971520. Its totient is φ = 193273528320.

The previous prime is 977090150371. The next prime is 977090150453. The reversal of 977090150400 is 4051090779.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3801907072 + ... + 3801907328.

Almost surely, 2^977090150400 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 977090150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113368485760).

977090150400 is an abundant number, since it is smaller than the sum of its proper divisors (3249646821120).

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

977090150400 is a wasteful number, since it uses less digits than its factorization.

977090150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 977090150400 in words is "nine hundred seventy-seven billion, ninety million, one hundred fifty thousand, four hundred".